Will METAL!!
Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
f-1(x) = 21(x + 9)
f-1(x) = [7(x + 9)]3
f-1(x) = 7(x3 + 9)
f-1(x) = 7(x + 9)3

- anonymous

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

|dw:1443800798823:dw|

- Nnesha

f(x) is same as y
so first replace f(x) with y \[\huge\rm \color{ReD}{y}=\sqrt[3]{\frac{\color{blue}{ x} }{ 7} } -9\]
to find inverse `switch x and y` then solve for y

- welshfella

isolate the cube root and cube both sides of the equation

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

so how would I do that @Nnesha

- Nnesha

`switch x and y` replace x with y
and y with x

- anonymous

|dw:1443801089795:dw|

- Nnesha

looks good now first move -9 to the left
and then take cube both sides to cancel out the cube root

- anonymous

x + 9 |dw:1443801233219:dw|

- Jhannybean

\[\checkmark\]

- anonymous

what do I do know?

- Jhannybean

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Nnesha
looks good now first move -9 to the left
and then `take cube both sides to cancel out the cube root`
\(\color{#0cbb34}{\text{End of Quote}}\)

- Nnesha

take cube both sides to cancel out the cube root
just like we take square to cancel out the square root \[\large\rm \sqrt[4]{x} = (\sqrt[4]{x})^4 = (x^\frac{ 1 }{ \cancel{4} })^\cancel{4}=x\]example

- Nnesha

cube not cube root
to cancel out the cube then we should take cube root

- Nnesha

look at the example above^

- anonymous

|dw:1443801529555:dw|

- Nnesha

yes right
but we should take cube `both ` sides |dw:1443801794531:dw|
what would be the next step ?

- anonymous

would it be x+3

- Nnesha

to get rid of the fraction at right side what would you do ?

- Nnesha

x+3 ?

- anonymous

Idk would you move y to the other side.

- Nnesha

we need y itself at right side so move 7 to the left side

- Nnesha

7**

- anonymous

|dw:1443802394930:dw|

- Nnesha

-7 ??

- Nnesha

is that a negative sign ?

- anonymous

|dw:1443802476561:dw|

- Nnesha

to cancel out the 7 at right side we should multiply both sides by 7|dw:1443802496552:dw|
that's how it's 7 times (x+9)^3

- Nnesha

it's (x+9)^3 like i said we should take cube `both sides `

- anonymous

Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x - 14)2 - 9
Shift the graph of y = x2 right 14 units and then up 9 units.
Shift the graph of y = x2 down 14 units and then left 9 units.
Shift the graph of y = x2 right 14 units and then down 9 units.
Shift the graph of y = x2 left 14 units and then down 9 units.

- anonymous

Do you have a graphing calculator? @Nnesha

- Nnesha

f(x-h)= horizontal shift ( if h is negative shift some units to the right , if h is positive shift h units to the left )
f(x) + k =vertical shift ( positive k shift up , if k is negative shift k units down)

- Nnesha

yes

- anonymous

So would it be answer choice the last one then right?

- Nnesha

you don't need calculator for this question .

- anonymous

y = (x - 14)2 - 9
because -9 is and (x-14)^2 is negative as well.

- anonymous

*negative

- Nnesha

no
h =-14
so read what i said above

- anonymous

oh ok so it's our third option.

- Nnesha

right if h is negative then shift right
if it's positive then left shift

Looking for something else?

Not the answer you are looking for? Search for more explanations.