Graph the inverse of the function, f (x) = ( x+ 2)^3-4

Show all work in finding the inverse.

Answers

Answer 1

Answer:

The inverse of this function is:

[tex]f(x) = \sqrt[3]{x + 4} - 2[/tex]

Step-by-step explanation:

To find the inverse function, we can simply swap x and f(x) and solve for the latter:

[tex]x = (f(x) + 2)^3 - 4\\x + 4 = (f(x) + 2)^3\\\sqrt[3]{x + 4} = f(x) + 2\\f(x) = \sqrt[3]{x + 4} - 2[/tex]


Related Questions

Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.

Answers

Answer:

um theres no picture or anything but when a value decreases in an equation its exponential decay...

Which of the following solutions solves the system?

Answers

The answer is C

(1,-1)
(1,-1) is what I think the answer is

Drag the tiles to the correct boxes to complete the pairs.
Match each compound inequality to the graph of its solutions on the number line.

Answers

Answer:

The answers for the exercise shown in the figure attached above, are shown  

Step-by-step explanation:

-The Compound inequality for the solution 1 is:

-2(x+1)≥-4 or 4x-7≥5

x≥1

x≥3

-The Compound inequality for the solution 2 is:

-6≤2x-8≤-2

1≤x≤3

-The Compound inequality for the solution 3 is:

3x-4≥5 or -5x+17≤12

x≥3

x<1

Witch exspression is equivalent to (7^-8) (7^3)​

Answers

Answer:

uhh not sure.

Step-by-step explanation:

maybe 0.000000173 * 343 wich is their values expanded

For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.

Answers

Answer/Step-by-step explanation:

Given,

10x - 3y = 3

3x + 10y = 30

Rewrite both equation in slope-intercept form, y = mx + b.

Where, m = slope of the line.

Thus,

✔️10x - 3y = 3

-3y = -10x + 3

y = 10/3x - 1

Slope of this line would be 10/3

✔️3x + 10y = 30

10y = -3x + 30

y = -3/10x + 3

The slope of this line is -³/10.

✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.

there are 12 students in a class who are preforming at the school concert . this represents 40% of the class how many students are in the class?

Answers

Answer:

There are 30 students in class

Step-by-step explanation:

Let x be the total number of students

Then according to the given statement,

40% of x is 12

this can be expressed mathematically as:

[tex]12 = 40\%\ of\ x\\12 = 0.40 * x[/tex]

we can simply use this equation to find the total number of students

[tex]12 = 0.40x[/tex]

Dividing both sides by 0.40

[tex]\frac{0.40x}{0.40} = \frac{12}{0.40}\\x = 30[/tex]

Hence,

There are 30 students in class





If a = 12 and b = 6, what is the length of x?

Answers

Answer:

sqrt89

Step-by-step explanation

if you play paintball for $8 for 30 minutes, how much will it cost you to play for 1 hour and 15 minutes?

please hurry! will give brainliest

Answers

Answer:

20

Step-by-step explanation:

30+30 is a hour and half of 30 is 15 so do this 8+8 and the add half of 8 and it is 4 so the full thing is 8+8+4+20

A pack of 10 pencils costs $4.00. Find the unit rate of 1 pencil.

$.30

$.40

$.60

$.90

Answers

Answer:

.40

Step-by-step explanation:

Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =

Answers

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Danny charges $18 for 2 hours of swimming lessons, Martin charges $80 for 5 hours of swimming lessons.
Who offers a better deal?
(select) offers the better deal.
(select)
Martin
Danny

Answers

Answer:

danny's offer is cheaper

Step-by-step explanation:

danny = $9 per hour

martin = $16 per hour

Danny because 18x2.5=45, 45 is less then 80

3 + 2r = 5 so r = what

Answers

Answer:

r=1

Step-by-step explanation:

3+2r=5

-3      -3

2r=2

r=1

Answer: R equals 1. Move the constant to the right and change it's sign. Subtract the numbers. Divide both sides of the equation by 2. So that leaves you with 1.

NEED HELP ON ALL OF THEM

Answers

Uu answered them also if uu still Need help scan one by one when uu take the picture on Brainly

Please help it going to close in 15 min (7 and 8)

Answers

Step 4 would be the answer. Hope this helps!

HELPPPPPPPPPPP!!!!!!!!! Oh

Answers

Answer:

We conclude that:

[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]

solving

[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]

Scalar Multiplication: Multiply each of the matrix elements by a scalar

[tex]=\begin{pmatrix}3\cdot \:2\left(-2\right)&3\cdot \:2\cdot \:3&3\cdot \:2\cdot \:0\\ 3\cdot \:2\left(-4\right)&3\cdot \:2\cdot \:2&3\cdot \:2\cdot \:6\\ 3\cdot \:2\cdot \:6&3\cdot \:2\left(-5\right)&3\cdot \:2\cdot \:6\end{pmatrix}[/tex]

Simplify each element

[tex]=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]

Therefore, we conclude that:

[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]

Hence, option B is correct.

3) y = 4x + 24
y = x + 9

Answers

Answer:

x= -5

y= 4

Step-by-step explanation:

Substitute the equations for y

x+9=4x+24

Subtract x from both sides of the equation.

9=3x+24

Now subtract 24 from both sides of the equation.

-15=3x

x= -5

y= -5=9=4

If 9 : x = x : 4, then x = _____

Answers

Step-by-step explanation:

Explanation:

9

:

x

as

x

:

4

9

x

=

x

4

x

2

=

36

x

=

±

36

x

=

±

6

Step-by-step explanation:

[tex]\tt{ 9:x=x:4 }[/tex] ⠀

[tex]\tt{\dfrac{9}{x}=\dfrac{x}{4} }[/tex] ⠀

[tex]\tt{x×x=9×4 }[/tex] ⠀

[tex]\tt{ x^2=36 }[/tex] ⠀

[tex]\tt{ x=\sqrt{36}}[/tex] ⠀

[tex]\tt{ x=6 ~and~x=-6 }[/tex] ⠀

Mauri’s little Sister weighed exactly 7 pounds when she was born. How many ounces did she weigh?

Explain how you got your answer, talk about the steps you took to get your answer.

Answers

Searched it up on goggle

112

Answer:

112 ounces

Step-by-step explanation:

Converting pounds to ounces is simple. Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16.

16

x. 7

------------

112

y = -4x - 24
y + 2x = 8
How would I solve by substitution step by step?

Answers

Answer:

x=-16

y=40

Step-by-step explanation:

y=-4x-24

y+2x=8

its the same y. Use substitution

(-4x-24)+2x=8

-2x-24=8

-2x=32

x=-16

We found x!

substitute x in either equation

y+2x=8

y+2(-16)=8

y-32=8

y=40

Answer: (-16, 40)

Step-by-step explanation: Using substitution, you can but the first y=-4x-24 into the second equation y+2x=8. So, you take what y is (which is -4x-24) and substitute it for the second y in the equation y+2x=8.

Your equation should now look like this (-4x-24) + 2x = 8.

You can then solve -4x -24 +2x =8. Combine like-terms (-4x+2x) to get -2x-24=8. Then use inverse operations and add 24 from both sides (so from the -2x-24 side and 8 side). This will then give you -2x=32. divide both sides from -2x to get:

x = -16

Then, plug in x= -16 into the first equation (y= -4 (-16) - 24). Then use PEMDAS and multiply -4 and -16 to get +64. Subtract 24 to get:

y = 40

HELP ME ON THIS QUESTION ASAP!!!!!

Answers

The answer is 2

Y2-Y1 / X2-X1

Solve the proportion: 6/x = 21/28

Answers

x=8
Hope this helps <3

The answer is 8.

What is proportion?

Proportion is defined as the difference between two ratios or fractions that are equal to each other.

The given proportion is

6/x = 21/28

x =  (6*28)/21

x=(6*4)/3

x=8

Hence the solution for the given proportion is 8.

To learn more about proportion, use the link given below:

https://brainly.com/question/3254974

#SPJ2

Please answer in only a fraction please..

Answers

Answer:

19/40

Step-by-step explanation:

1.9*(1/4) =0.475

0.475=19/40

Your Answer is 19/40

Have a great day!!
Please mark me brainlest, I have never been marked brainlest!!

Simplify (-32) ÷ (-4)

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Guide\downarrow}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{(-32)\div(-4)}[/tex]

[tex]\bold{=32\div4}[/tex]

[tex]\bold{=8}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

4

Step-by-step explanation:

Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.

-32/ -8 = 4

Check....

-8 * 4 = -32

-32 / 4 = -8

When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Solve x4 - 11x2 + 18 = 0.

Answers

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0  

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9  

taking square roots:

√x^2 =√2 ,√x^2=√9  

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

Please help me please I beg u

Answers

Answer:

2 times larger

Step-by-step explanation:

Answer:

two.

Step-by-step explanation:

The circumference of a wheel is directly scaled to its radius.  We're told that Kevin's tricycle wheel is eight inches in radius, and Monica's bicycle wheel is 16 inches in radius.  Because 16 is equal to 2×8, we know that Monica's wheel is twice as big as Kevin's.

HELP WITH NUMBER 4 PLEASE!1 PLEASE SHOW ME HOW!

Answers

Answer:

( 2x+5) (5x-2)

Step-by-step explanation:

Factor the polynomial 8x² − 24x − 224 completely

Answers

Answer:

8(x+4)x(x-7)

Step-by-step explanation:

hope this helps!


AREA OF A CIRCLE
r=3 cm

Answers

28.27 is the area bc i had this as an example before lol

Is 4.259462364423... a rational or irrational number?

Answers

yes , it keeps going on and on !

Answer:

Yes it its!!! It goes on for a long time!! Keep that in mind when you are doing problems like this!  

:)

Step-by-step explanation:

William tracks the number of sweaters he sells and the profit he makes from them.
400
350
300
250
Profit($)
200
150
100
50
Sweaters Sold
If the pattern continues, how many sweaters must William sell to profit $350?

Answers

Answer:

650 Sweaters hope this helps

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