Question

Use algebra to find the inverse of the given one-to-one function.
f(x) = (x^5 + 10)^3

Answer 1

form your equation with x's and y's:
\[y=(x^5+10)^3\]
now replace your x's and y's:
\[x = (y^5+10)^3\]
and solve this altered equation for y. <--- that is your inverse equation

Answer 2

right I got to there and the thing that is confusing me is the\[y^{5}\]

Answer 3

Roots and Powers are inverse functions, you can clear power of 5 by taking the 5th root, for example:
\[x=y^5\]
\[\sqrt[5]{x}=\sqrt[5]{y^5}\]
\[\sqrt[5]{x}=y\]