What is the inverse function of g(x)=3x8?

1 Answer
Oct 27, 2015

If h(x) is the inverse of g(x)
then h(x)=x2+729

Explanation:

Note that if h(x) is the inverse of g(x)
XXXg(h(x))=x
and
substituting h(x) for x in the original definition of g(x)
XXXg(h(x))=3h(x)8

Therefore
XXX3h(x)8=x

XXXh(x)8=x3

XXXh(x)8=x29

XXXh(x)=x2+729