Question

given f(x)=3x^6, find f^-1(x). then state whether f^-1(x) is a function.

Answer 1

well the function can be written as

\[y = 3x^6\]

to find the inverse... swap x and y

\[x = 3y^6\]

to find the inverse... make y the subject

Answer 2

@campbell_st is my answer y=(x/3)^1/6;f^-1(x) is not afunction

Answer 3

sorry not 1/6 i meant 6

Answer 4

thats correct.... to make it a function you need to restrict the domain... to

x >= 0 or x <= 0

Answer 5

thanks a bunch!