Question 146993
To find the inverse of a function, first use x and y as dependent and independent variables. 
{{{f(x)=x^(1/7)}}}
{{{y=x^(1/7)}}}
Now interchange x and y and solve for y.
{{{y=x^(1/7)}}}
{{{highlight(x)=highlight(y)^(1/7)}}}
{{{y=x^7}}}
{{{f^(-1)(x)=x^7}}}