function fx

Question

Inverse of f(x)= {[(x^3)+1]}^1/2

Answer 1

f(x)= {[(x³)+1]}^1/2

y = {[(x³)+1]}^1/2

x = {[(y³)+1]}^1/2

x²= {{[(y³)+1]}^1/2}²

x²=y³+1

x²-1=y³

y=(x²-1)^1/3

f^-1(x)=(x²-1)^1/3