HELP ME HELP ME HELP ME!!! Given f(x) below, find f^-1(x).

HELP ME HELP ME HELP ME!!! Given F(x) Below, Find F^-1(x).

Answers

Answer 1

Answer:

[tex]f^{-1}[/tex] (x) = 6 - 4x

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )

4y = - x + 6 ( subtract 6 from both sides )

4y - 6 = - x ( multiply through by - 1 )

- 4y + 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 6 - 4x


Related Questions

find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

Answer:

60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

m∠DEF = 180° - 65° = 115°

please dont give a useless answer

Answers

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

what is a trinomial?

Answers

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.

a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b

Answers

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle. ​

Answers

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

What is volume?

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ2


Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.

Answers

Dante is incorrect because point P is not the circumcenter of the triangle.

What is the circumcenter of a triangle?

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

How to identify a circumcenter?

There are some simple characteristics to determine if a circumcenter is correct.

All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

Learn more about triangle in: https://brainly.com/question/25813512

[tex]\boxed{\sf 2x+31=5}[/tex]

Answers

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

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[tex] \sf \: 2x + 31 = 5[/tex]

[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]

[tex]\sf \longmapsto \: 2x = -26[/tex]

[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]

[tex]\sf \longmapsto \: x = - 13[/tex]

[tex] \boxed{\sf - 13}[/tex]

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

please answer fast i need it

Answers

Answer:

AB = 2.625

Step-by-step explanation:

BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is

[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia

[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )

10 AB = 6(7 - AB) ← distribute

10 AB = 42 - 6 AB ( add 6 AB to both sides )

16 AB = 42 ( divide both sides by 16 )

AB = 2.625

What is the slope for this table?

Answers

Answer:   Slope = -3

=======================================================

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

x = 0 and y = 4x = 1 and y = 1

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?

Answers

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

which temperature is lower -6 or 3

Answers

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

Solving the quadratic equations using by completing the square. ​

Answers

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest

2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips

Answers

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

Please help me with this

Answers

The answer is 1 and 7/8. The last answer
1 7/8
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8

Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.

The new graph will have equation y =

Answers

Answer: f(x)=3(x+4)+ 8

Step-by-step explanation:

Stretch vertically by a factor of 3:  y = 3x

 

Then, translate two units leftward:  y = 3(x+2)

 

Then, translate 8 units upward:  y = 3(x+4)+ 8

Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.

Answers

Answer:

125

Step-by-step explanation:

6.25 x 20 = 125

Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.

Answers

Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463

b) 320 376, 409 217, 317 758, 329 000, 320 768

Answers

a) 23100, 23405, 607463, 680056, 680155

b) 317758, 320376, 320768, 329000, 409217

[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

(2x-3)(-2x^2-5x-8)
(2x−3)(−2x
2
−5x−8)

Answers

Answer:

16 x 6 + 32 x 5 +24 x 4 − 184 x 3− 191 x2−48 x  + 576

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

solve |8y+4|=2|y-1|
please show the work!

Answers

8y+4 = 2(y-1)
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1

OMG help.
What is 1+1?

Answers

Answer:

2

Step-by-step explanation:

Hahaha thank you

Answer:

2

Step-by-step explanation:

1 plus 1 is two use ur fingers

You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delivery?

Answers

Answer:

199.50

Step-by-step explanation:

Given the 3.50 payment for every case delivered to a store:

This means that you will earn 199.50 for delivering 57 cases, because:

57 cases × 3.50 each case = 199.50

Therefore, you will be paid 199.50 for that delivery.

You would multiply 57x3.5 and your answer is 199.50

what is 18 kg in grams​

Answers

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

18,000 because I’m like that Goated #yb better
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