Question

For the function f(x) = 8x7, find f-¹(x).

Answer 1

Your answer is C.
`y= \sqrt[7]{(x)/(8) }`

Explanation:

`f(x)=8x^7\\y = 8x^7`

switch y and x to for inverse.

`x = 8y^2`

Now solve y by itself.

`x=8y^7\\(x)/(8)=y^7\\ \sqrt[7]{(x)/(8) } =y`

Answer 2

f^-1(x)=
`\sqrt[7]{x} /8`

Explanation:

f(x)=8x^7

x^7=f(x)/8

x=
`\sqrt[7]{x} /8`

f^-1(x)=
`\sqrt[7]{x} /8`