Find the inverse of the function.

f(x) = the cube root of quantity x divided by nine. - 4

Question

Find the inverse of the function. 

f(x) = the cube root of quantity x divided by nine. - 4

anonymous · Answer

@Jack1

jack1 · Answer

$\Large f(x)=\sqrt[3]{ \frac x9}-4$

make f(x) = y

$\Large y=\sqrt[3]{ \frac x9}-4$

swap x and y terms

$\huge \color{red}x=\sqrt[3]{ \frac {\color{red}y}9}-4$

now put x in terms of y

$\Large x=\sqrt[3]{ \frac y9}-4$

$\Large x+4=\sqrt[3]{ \frac y9}$

$\Large (x+4)^3=\frac y9$

$\Large 9(x+4)^3=y$

$\Large 9(x+4)^3=f^{-1}(x)$

$\Large f^{-1}(x) = 9(x+4)^3$

does this make sense @PHUNISH ?

anonymous · Answer

Ohh yeah for some reason I kept cubing the x idk how or why thanks though!

jack1 · Answer

np dude ;)

anonymous · Answer

I have a couple more I got wrong if you could explain them to me, ill tag you in them

jack1 · Answer

cools ;)