### Home > CALC > Chapter 1 > Lesson 1.3.3 > Problem1-130

1-130.

Let $f(x) = x^2$ and $g ( x ) = \sqrt { x }$. Evaluate the following expressions.

1. $f(3)$

$f(3) = 9$

1. $f(−3)$

Because $f(x)$ is even, $f(-3) = f(3) =$ part $a =$ _____

1. $g(9)$

Since $f(x)$ and $g(x)$ are inverse functions for $x ≥ 0$, $g(9) = f(3) =$______________

1. $g(f(3))$

Plug in your answer from part (a).

1. $g(f(6))$

Recall that $f(x)$ and $g(x)$ are inverse functions for $x ≥ 0$, and the definition of an inverse function: $f(g(x)) = x$.

1. $g(f(x))$

Refer to the hint in part (e).