What is the inverse of the function f(x) = 3x – 2?
f-1(x) =

Answers

Answer 1

Answer:

[tex] \frac{x + 2}{3} [/tex]

Step-by-step explanation:

Replace y with f(x).

[tex]y = 3x - 2[/tex]

Swap x and y and solve for y

[tex]x = 3y - 2[/tex]

[tex]x + 2 = 3y[/tex]

[tex] \frac{x + 2}{3} = y[/tex]


Related Questions

Given the function f(x) = 4x+2, what is the value of f(3)?

Answers

Answer: f(3) = 14

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given function

f(x) = 4x + 2

Substitute value of the x into the expression

f(3) = 4(3) + 2

Simplify by multiplication

f(3) = 12 + 2

Simplify by addition

f(3) = [tex]\boxed{14}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?

Answers

Answer:

73%

Step-by-step explanation:

/ means divide

you divide the total by those who showed up

27/37 = .7297 = around .73 = 73%

A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?

Answers

Answer:

64 ivy stems

Step-by-step explanation:

72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece

Create an equation with x being the amount of ivy stems needed.

x / 16 = 4

x = 64

ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!

Answers

Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

What is the quotient of 5/6 and 3/8?

Answers

Answer:

2 2/9

Step-by-step explanation:

5/6 ➗3/8

We can use the reciprocal.

So, 5/6 * 8/3 = 40/18.

40/18 can be simplified to 20/9 or 2 2/9

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.

Answers

a=15

b=23

Step-by-step explanation:

a+8=b

2a=b+7

2a=(a+8)+7

2a=a+15

a=15

I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️

Answers

9514 1404 393

Answer:

  1. (f+g)(x) = 2x^2 +4x +2

  2. (f -g)(x) = -2x^2 +4x -4

  5. (f+g)(x) = x^2 +2x -1

  6. (g -f)(x) = x^2 -2x -1

Step-by-step explanation:

None of these are compositions. They are only sums or differences.

  (f±g)(x) = f(x) ± g(x)

__

1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)

  (f+g)(x) = 2x^2 +4x +2

__

2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)

  (f -g)(x) = -2x^2 +4x -4

__

5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)

  (f+g)(x) = x^2 +2x -1

__

6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)

  (g -f)(x) = x^2 -2x -1

find the last two digits of 2^2016​

Answers

Whooooooooooooooooooooooooops , Result for 2^2016

help!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = 8, B = - 2, c= - 21

Step-by-step explanation:

Just expand the brackets carefully

1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?

Answers

Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo

Which ordered pair is a solution to the equation y = 2x + 1?

A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)

Answers

it’s choice A :)))))

0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to


Answers

Answer:

12/99

Step-by-step explanation:

x=0.121212

100x=12.121212

100x-x=12.1212-0.1212

99x=12

x= 12/99

Answer:

6/50 is simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

parameters & values: The decimal number = 0.12step 2 Write it as a fraction

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12

No. of acute angles in the given figure:_____

Answers

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

plz help me find the slope​

Answers

Answer:

4/5

Step-by-step explanation:

Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up  

Up is Y value

Front is X value

To solve it is adding the value that you get from moving it in this case

5 front X equals to 5

4 up Y equals to 4

Then is 4/5

because the formula is Y/X

30 Oreo cookies for $2.99
Unit rate

Answers

Answer:

$0.10 per oreo

Step-by-step explanation:

To find the unti rate, all we need to do is divide.

2.99 / 30 ≈ 0.10

Best of Luck!

Does a rhombus have perpendicular line segments

Answers

Answer:

A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:

Its diagonals divide the figure into 4 congruent triangles.

Its diagonals are perpendicular bisectors of eachother.

If all of a rhombus' angles are right angles, then the rhombus is a square.

Answer:yes it does have perpendicular lines

Step-by-step explanation:

how to solve this things

Answers

Answer:

8/5

Step-by-step explanation:

...................

smg membantu, mff kl slh

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?

Answers

Answer:

26

Step-by-step explanation:

if his chair is 14 away from the left he would be 26 away from the right

Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment​

Answers

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

What is the product of ¼, -½ and -¾?

a
0.0934
b
-0.6543
c
-0.09357
d
0.09375

Answers

This is nonfiction and that would c I.09357 0.6543
D most definitely d

Can anyone please help me to find the area of this please

Answers

9514 1404 393

Answer:

  √35 +3√7 -6 . . . square units

Step-by-step explanation:

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

  width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

  A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

  A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

  √35 +3√7 -6

Solve. Give exact answers if possible, otherwise round to two decimal places. [6 marks]
A) 64^ x+4= (1/6)^x B) 5^x+1 - 5^x+2= -2500 C) 5^ x-1 + 10= 53

Answers

Step-by-step explanation:

jjjeejjenNJjsjsjsjJjsjshsbsbebeh

Can someone pls help me I need help

Answers

Step-by-step explanation:

see it in the picture. i can't make it display in text form.

find the domain of y= √3x+3

Answers

Answer:

it's hard to tell the exact question being asked...

y = [tex]\sqrt{3x} + 3[/tex]

or

y = [tex]\sqrt{3x+3}[/tex]

if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )  

if  y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )  

Step-by-step explanation:

Rewrite the following mathematical statement in your own words

Answers

Answer:

a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a

f: M ⇒ N is a function from M to N.

Given,

f: M ⇒ N

We need to describe this mathematical statement in our own words.

What is a function?

A function is defined as a way where there is an input that it takes and produces an output.

The set from where the inputs come is called the Domain.

The set of outputs is called the Range.

We have,

f: M ⇒ N

Here

f is a function that takes input from the set M and its output belongs to set N( Natural number).

Here,

M is called the domain.

N is called the codomain.

Thus f: M ⇒ N is a function from M to N.

Learn more about function here:

https://brainly.com/question/14418346

#SPJ2

Please help basic Geomerty question!

Answers

Answer:

Point B :(6, 7)

Step-by-step explanation:

Point B:(x, y)

1= - 4+x/2

2= - 4+x

x=6

7.5= 8+y/2

15= 8+y

y=7

Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?

Answers

Answer:

he watched 2movie in 1st year

This is a Arithmetic Series.
Sum = n/2[2a + (n - 1)d]
5/2(2a + 4 x -10) = 650
2a - 40 = 650 x 2/5 = 260
2a = 260 + 40 = 300
a = 150

He watched 150 movies in the first year.

The series is 150 + 140 + 130 + 120 + 110 = 650

please help me is for my homework​

Answers

Step-by-step explanation:

12/100 I think from a while ago.

Answer:

your answer is 12/100

but as a percent, it is 1200%

Step-by-step explanation:

find the slope of the line that is perpendicular to the line graphed in the figure​

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

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