How do you find the inverse of f(x)=4x^7?

1 Answer

Solve with respect to x

hence

y=f(x)=4*x^7 hence

x=(y/4)^(1/7)

Replace x with y hence

y=(x/4)^(1/7)

or

f^(-1) (x)=(x/4)^(1/7)

To test that they are really inverses of each other you need to
find both composite functions f(f^-1(x)) and f^-1(f(x)).
Both of these Must be equal to x or else they are not inverses of each other.