which equation represents the inverse of f(x)=(x+3)^2+5 for x ≤-3

Answers

Answer 1

Answer:

f(x)=(x+3)^2+5

let f(x)=y

y=(x+3)^2+5

interchanging role of x and y

x=(y+3)²+5

x-5=(y+3)²

√(x-3)-3=y

y=√(x-3)-3

:.inverse of f(x)=(x+3)^2+5 is f-¹(x)=√(x-3)-3


Related Questions

Evaluate: log6 1,296

Answers

Answer:

4

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] then

let [tex]log_{6}[/tex] 1296 = n

1296 = [tex]6^{n}[/tex] = [tex]6^{4}[/tex] , thus

n = 4

Please help me!


STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Answers

Answer:

x = 12Side = 23 units

Step-by-step explanation:

STU is an equilateral triangle. And:

ST = 2x - 1SU = 5x - 37TU = x + 11

All sides are equal. Then take one pair and solve for x:

2x - 1 = 5x - 373x = 36x = 12

Substitute x to find the side length:

2x - 1 = 5x - 37 = x + 11 = 23

Write 14 more then a number (pre algebra)

Answers

Answer:

14>4

Step-by-step explanation:

If we read this it literally says 14 is greater than 4. We always read left to right so if it was 14<4 it would be 14 is less than 4, which we know isn't true but just for an example.

46 decreased by twice the number

Answers

-46

Hope this helps!

May I please have brainliest? :D

2x-46

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Тc, d) - Ta, b)
Can it be described by a single translation rotation or reflection

Answers

Answer:

Reflection

Step-by-step explanation:

PLESE HELP MEE AND SHOWW YOUURR WOORKK PLEASE :)

Answers

Answer:

a) 13.4

Step-by-step explanation:

This will use the pythagorem theorm. Which is a^2 + b^2 = c^2. You'll start with 12^2 + 6^2 = c^2. Then you'll solve from there.

12^2 + 6^2 = c^2

144 + 6^2 = c^2

144 + 36 = c^2

180 = c^2

then you'll find the square root of 180 (i don't have that symbol on my keyboard)

/180 = c

6/5 = c

then in decimal form it's 13.4164...

so rounded it's 13.4

put these numbers in order from least to greatest
4
-3 1/3
5
6
-1/2
21/5
-1
1
0

Answers

Answer:

-3 1/3 , - 1 , -1/2 , 0 , 1 , 4 , 5 , 6 , 21/5

This is me eont answer the question it's so it doesnt get taken down. What's the square root of 26.7?

Answers

Answer:

10000000000000000000000

Step-by-step explanation:

Work out the gradient of a line that passes through co-ordinates (3,4) & (6,16).

Answers

Answer:

4.33

Step-by-step explanation:

Given data

x1= 3

y1=3

x2=6

y2=16

M= y2-y1/x2-x1

substitute

M=16-3/6-3

M= 13/3

M=4.33

Hence the gradient is 4.33

Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly.

Find the errors in her solution. What should her answer have been?

Lin's Steps - 8 (x-3) + 7 = 2x (4 - 17)
8 (x-3) + 7 = 2x (13)
8x - 24 + 7 = 26x
8x - 17 = 26x
-17 = 34x
-1/2 = x

Answers

Answer:

22

Step-by-step explanation:

Answer:

1/2 = x

Step-by-step explanation:

8 (x-3) + 7 = 2x (4 - 17)

8 (x-3) + 7 = 2x (-13)

8x - 24 + 7 = -26x

8x - 17 = -26x

-17 = -34x

1/2 = x

Ralph’s annual income is about $32,000. Based on his expenses illustrated in the graph below, roughly how much should Ralph expect to pay in taxes this year?
A circle graph titled Ralph's Annual Expenses. Federal taxes, 29 percent; State/local taxes, 6 percent; Housing and household, 25 percent; Food, 8 percent; Medical care, 11 percent; Transportation, 7 percent; Recreation, 6 percent; Clothing, 5 percent; Other, 3 percent.
a.

$1,920
b.

$8,000
c.

$9,280
d.

$11,200




Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

$11200

Step-by-step explanation:

not that smart i hope u get i t right :)

Answer:

c

Step-by-step explanation:

Hey i really need help with this question im having trouble and it would be greatly appreciated if someone could help me

Answers

Answer:

m=s+0.50

3m+2s=23.95

Step-by-step explanation:

Answer:

m-s+0.50

3m+2s=23.95

Step-by-step explanation:

the first one is defining m in terms of S

the second is solving

I know they didn't ask but here is the solution:

so in this case you would replace 3m with 3(s+0.50)

PLEASE HELP
let f be the function defined by f (x) = 3x^2 - x^3. what is the absolute value of f on the closed interval [ 1, 5/2 ]

Answers

Answer:

2

Step-by-step explanation:

As per the interval, x = 1 and y = 5/2

Substitute x into the expression:

3 - 1 = 2

What two variables are used most often in 2-variable equations?

Answers

I believe it is x and y

Solve for n. -4n + 7 = 1 – 2n

Answers

Answer:

n = 3

Step-by-step explanation:

subtract 1 from both sides to get:

-4n + 6 = -2n

then add 4n to both sides to get:

6 = 2n

then divide both sides by 2 to get:

3 = n

Brooke went to the hardware store and bought 20 identical copper pipes. When Brooke lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?

Answers

Answer: 5cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 centimeters

Therefore, since Brooke went to the hardware store and bought 20 identical copper pipes and their total length is 1 meter long which is 100cm, the length of each pipe will be the title length of the Pipe divided by the number of pipes. This will be:

= 100 / 20

= 5cm each.

Each pipe is 5cm long.

help!

What is the area of the figure Brianna created in square feet?

Answers

Answer:

24 3/4

Step-by-step explanation:

multiply 4 1/2 times 1/2 to get your answer..

The function ƒ(x) = is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.

Answers

Answer:

There is no graph that you have put to answer your question

Step-by-step explanation:

Answer:

it's not this two that what i put and got it wrong

Step-by-step explanation:

Study lamps are packed 2 in a carton. The dimensions of the carton are 2.5 feet by 1.25 feet by
1.75 feet. The Supply Store wants to order 200 pairs of lamps. How much storage space will the
Supply Store need to store the lamps?

Answers

Answer:

hahahhahahahahahahahahahahahaha

Decide whether the two expressions are equivalent for each problem below.
If they ARE equivalent, explain why.
If they ARE NOT, provide the reason why the two expressions are not equivalent.
A) -8(x+7) and -8x-7
B) 6x and 4x+2
C) 15-4x and - 4x +15
D) 7(x+10) and 7x+70

Answers

c and d are equivalent

how do you solve these kinds of equations? (3x+5) (3x+5)

Answers

Answer:

-5/3

Step-by-step explanation:

(3x+5)(3x+5) is the factored form of the quadratic: 9x^2+30x+25

In equation form, it will be 9x^2+30x+25 = 0 so we have:

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

To solve these types of equations, we find the roots. Since the product of these numbers is 0, (3x+5) has to be equal to 0.

3x + 5 = 0

Subtract 5

3x = -5

Divide by 3

x = -5/3

Help please thank you

Answers

zeros are at -5, and 1

graph the linear equation y = -2x + 3

Answers

Answer:

What I uploaded as a file

There is an online graphing calculator called “Desmos” that may be helpful for you.

Given the equation x+y=20 and x-y=8,which values of x and y satisfy both equations

Answers

Answer:

x=14 y=6

Step-by-step explanation:

Hxhdnchdhxhdhdd helppppppp

Answers

The last one is the right answer

Answer:

D.

Step-by-step explanation:

PLEASE HELP DUE IN 10 MINS OMG PLS HELP RN

Answers

Answer:

D

Step-by-step explanation:

I don't understand these, please help!

Answers

Step-by-step explanation:

2A

x=1 y=3

x=4 y=0

y=mx+b

3=m+b

0=4m+b

3=-3m

m= -1

0=-4+b

b=4

y= -x +4

2B

x=2 y=0

x=0 y= -4

0=2m+b

-4=b

b=-4

0=2m-4

2m=4

m=2

y=2x-4

Give the person above me brainliest

what is 4w = -20 can someone please help me with this question

Answers

Answer:

w=−5

Step-by-step explanation:

Answer: w = -5

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio.
7/9
Your Choices:
14/28 28/36
14/27 21/36
28/27 21/27
14/36 21/28

Answers

Answer:

28/36  21/27    28/27                              2m\\==not      

Step-by-step explanation:

What is the slope intercept ?

Please help me !!

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

slope=3, y-intercept=1

Step-by-step explanation:

slope is rise/run, so if you rise 3 and run 1 on the line, you get 4 for the slope, the y intercept is where the line crosses the y-axis, in this situation, it crosses it at (0,1).

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