Find r(q(x)) q(x)=x^2+9 r(x) = square root of x+8

$q (x) = x^{2} + 9$ $r (x) = \sqrt{x + 8}$

Step 1

Set up the composite result function.

$r (q (x))$

Step 2

Evaluate $r (x^{2} + 9)$ by substituting in the value of $q$ into $r$ .

$r (x^{2} + 9) = \sqrt{(x^{2} + 9) + 8}$

Step 3

Add $9$ and $8$ .

$r (x^{2} + 9) = \sqrt{x^{2} + 17}$