Verifying Inverse Functions...1

[nycmathguy]

Section 1.9
Question 18

Let cr = cube root

f(g(x)) = (cr{x - 5})^3 + 5

f(g(x)) = x - 5 + 5

f(g(x)) = x

Let cr = cube root

g(f(x)) = cr{x^3 + 5 - 5}

g(f(x)) = cr{x^3}

g(f(x)) = x

Since f(g(x)) = g(f(x)), f and g are inverse functions.

 

[MathLover1]

correct

 

[nycmathguy]

correct

Easy stuff.