Question

Find the inverse of the function:
f(x)= cuberoot(x/7)-9

Answer 1

the inverse means to solve for x .. so lets solve for x
add 9 to both sides and you get...
y+9=cuberoot of X/7... Now lets get rid of the cube root by multiplying everything to the third root... so
(y+9)^3=x/7... Not to get rid of the 7 attached to the x we will multiply by 7....
So for x we get...
7(Y+9)^3=x......
NOw to get our final answer we switch values of x and y simply....
So now the Final answer is
Y=(x+9)^3
Hope this helps.

Answer 2

Ooh I see! But it's still 7(x+9)^3 right because you're still multiplying it by 7?

Answer 3

Oh yeah oops I forget to include the 7. Yes you are right

Answer 4

Thanks so much! :)

Answer 5

You're very welcome!