Question

Help with finding f^-1 (x)

Answer 1

f(x)= \[\sqrt[3]{x-7}\]

Answer 2

you would need to switch the x's and y's in your equation

Answer 3

step1; cube both sides

Answer 4

and then solve for y

Answer 5

step2; isolate x

Answer 6

step3; replace y with x and vice versa

Answer 7

so f^-1 would look like

y = cubed root of x - 7
x = cubed root of y -7

so you would cube both sides

x^3 = y-7
add 7 to both sides

y = x^3 + 7

Answer 8

so f^-1 (x) would be x^3+7?

Answer 9

Once you replace y with x and x with y and solve for y, you have found the inverse.

Answer 10

that would be correct.....as @calmat01 has said...one you have swtiched the x's and y's...then solved for y again..you have found the inverse