Help please!
Find the inverse equation of this function
f(x) = (x + 6)^2 + 1

Thank you!!

Answers

Answer 1

Step-by-step explanation:

you're just going to switch x and y and then solve for y

Help Please!Find The Inverse Equation Of This Function F(x) = (x + 6)^2 + 1Thank You!!
Answer 2

Answer:

Hello,

Step-by-step explanation:

The problem is that the inverse function is not a function but

an union of 2 functions.

[tex]y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\[/tex]

For the fun

,[tex]f_1(x)= (x+6)^2+1=0\ if\ x<6\\f_1^{-1}(x)=-6-\sqrt{x-1} =0\ if\ x<6\\\\f_2(x)=(x+6)^2+1=0\ if\ x \geq 6\\\\f_2^{-1}(x)=-6+\sqrt{x-1} =0\ if\ x\geq 6\\[/tex]

Help Please!Find The Inverse Equation Of This Function F(x) = (x + 6)^2 + 1Thank You!!

Related Questions

find the height of the triangle

Answers

Answer:

Step-by-step explanation:

my day has been going good for you because the height is 9.14 because

a shopkeeper sells a pant at 10% profit, if he would have sold it at rs.150 more than profit would have been 15% find the purchased price of the pant

Answers

Answer:

selling prices =10% 10+150+15%=180

Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Answers

5^4/25 = 52
The quotient law states that x^m divided by x^n = x^m-n, so I think ;

We first change 25 to 5^ 2
Therefore,
5^4/5^2 = 52

5^4-2 =52

5^2 = 52

Then we change the sum to logarithmic form, which is b^x=y is the same as log (base) b (y)= x

So,
Log (base) 5 (52)= 2

Use the calculator to find the value of the log on your left and the answer is:

2.45504.... = 2

Therefore 2 (to the nearest whole number) = 2



Does anyone know the answer plz ?

Answers

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

TIME REMAINING
43:02
Which ordered pair makes both inequalities true?

y < –x + 1

y > x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.





(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an

Answers

the answer of this question is (-2,2)

[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]

Answers

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

This is the simplified answer.

Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?

HELP PLEASE <3

Answers

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds

Answers

b i hope this helps !!

The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.

We need to find the height of the given triangle.

What is the formula to find the area of the triangle?

The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).

Where s is the semiperimeter, a,b and c are sides of the triangle.

Now, s=6+10+14/2=15 yds

Area of a triangle=√15(15-6)(15-10)(15-14)=25.9

Area of triangle=1/2×14×h=25.9 square yds

⇒h=3.7 yds

Therefore, the height of the given triangle is 3.7 yds.

To learn more about the area of a triangle visit:

https://brainly.com/question/27701864.

#SPJ5

Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speedss per hour

Answers

Answer:

Step-by-step explanation:

To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:

                     d        =        r        *        t

Car 1

Car 2

What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:

                    d        =        r        *        t

Car 1                                                   9

Car 2                                                  9

What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.

                  d        =         r        *       t

Car 1                                r        *       9

Car 2                           r - 10     *       9

Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:

               d        =        r        *        t

Car 1       9r       =        r        *       9

Car 2   9r - 90  =     r - 10     *       9

The distance between these 2 cars after that 9 hours is 910 km, therefore:

distance that car 1 traveled + distance that car 2 traveled = 910 km:

9r + 9r - 90 = 910 and

18r - 90 = 910 and

18r = 1000 so

r = 55.56 km/hr

and the other car is going 10 km/hr slower at 45.56 km/hr

tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem

Answers

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

Triangle OPR has length OR=5m, angle OPR = 90, find length QP​

Answers

Answer:

i don't know

Step-by-step explanation:

i don't know

HELPPPPPPPP
Which of the following is a geometric sequence?

Answers

Answer:

ES LA NUME  C                                        R

Step-by-step explanation:

A sequence starts 0, 5, ...

Give a rule the sequence could follow and the next 3 terms for that rule.

Give a different rule the sequence could follow and the next 3 terms for that rule.

Answers

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

Tn = a + (n-1)d

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

Learn more here: https://brainly.com/question/16151695

20 points lovelys <3​

Answers

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D

Step-by-step explanation:

Facts:

Minimum - can be found as the least valuable number in the box plot

First Quartile - can be found in the first point of the box around

Median - middle number in the set

Third Quartile - can be found as the last point of the box

Maximum - can be found as the greatest valuable number in the box plot
•••••••••••••••••••••••••••••••••••••••••••••••
Answers:

Minimum - 13

First Quartile - 23

Median - 35

Third Quartile - 44

Maximum - 55

please help 15 points (picture)

Answers

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

Help on 36 and 37 pls, the choices for 37 are 70,77,82, and 90

Answers

Answer:

36: G-30

37: Please add the rest of the questions, so I can answer 37.

Step-by-step explanation:

Lauren wants to know how many students in her school plan to see the new science fiction movie opening this weekend. She surveyed every Fitch student as they left the school on Friday.

Population:_____________

Sample:__________________

Is this sample reprsentive? Explain.
______________________________

Answers

Just to get pointsssss

What is the slope of the line?
y

slope = 13
slope = -3
slope =3

Answers

Answer:

slope = 3

Step-by-step explanation:

Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2

Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6

Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2

Answer:

3

Step-by-step explanation:

Start at the y-intercept

Slope is rise (up/down) over run (move to the right/left)

First you rise 3

And you run 1

3/1 is 3 thus 3

you buy a refrigerator for $711. The sales tax rate is 4%. Estimate the sales tax


a) $280

b) $28

c) $29

d) $290

Answers

Answer:

B. $28

Step-by-step explanation:

Find the sales tax by finding 4% of 711:

711(0.04)

= 28.44

This is closest to 28.

So, the correct answer is B. $28

find the missing side. Round it to the nearest tenth.​

Answers

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Angles a and e are corresponding angles and they are also congruent.

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!

Answers

Answer:

(0.5,3)

Hope this helps..Have a good day!!

I’ll mark u as a brainliest!! pls help me

Answers

Answer:

Shorter leg is 7

Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)

PLEASE HELP, I'LL MARK BRAINLIEST.. Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers? Please write in decimal form

Answers

The answer you are looking would be decimal 5.9

What is the approximate length of the line segment?
(1, -1)
(6,-8)

Answers

Answer:

8.6023

Step-by-step explanation:

length = √[(x2-x1)^2+(y2-y1)^2]

=√[(1-6)^2+(-1--8)^2] =√74 =8.6023

What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13

Answers

Answer:

The answer is D

Step-by-step explanation:

use the quadratic formula, plug and chug, and voila!

what is 40-32divited by8=5x-2

Answers

4.


40-32 is equal to 8.

8=5x-2 is equal to 2.


8/2 is 4.

What is the range of the function on the graph, I hope you can see it

Answers

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

A
D
С
B
If mZABD = 60°, then mZDBC = [?]°

Answers

Answer:

60

Step-by-step explanation:

Since the angles are shown equal in the diagram, ABD=DBC=60

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