Alegbra/precalc question

Question

Determine whether the function has an inverse function

f(x)=x^6

Does it have an inverse or no . And if not why

Answer 1

yes

It graphically passes the vertical line test for a function

Use a graphing calculator

such as desmos online

y=x^6 = f(x)

f^-1(x) = the 6th root of x = x^(1/6)

use a graphing calculator and see if the curve can be cut 2 times by a vertical line. it can't so it's a function, and an inverse function