Find f(g(x)) f(x)=2 square root of x g(x)=9x

$f (x) = 2 \sqrt{x}$ $g (x) = 9 x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (9 x)$ by substituting in the value of $g$ into $f$ .

$f (9 x) = 2 \sqrt{9 x}$

Step 3

Remove parentheses.

$f (9 x) = 2 \sqrt{9 x}$

Step 4

Rewrite $9$ as $3^{2}$ .

$f (9 x) = 2 \sqrt{3^{2} x}$

Step 5

Pull terms out from under the radical.

$f (9 x) = 2 (3 \sqrt{x})$

Step 6

Multiply $3$ by $2$ .

$f (9 x) = 6 \sqrt{x}$