Find w(u(x)) u(x)=x^2+6 w(x) = square root of x+9

$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 9}$

Set up the composite result function.

$w (u (x))$

Evaluate $w (x^{2} + 6)$ by substituting in the value of $u$ into $w$ .

$w (x^{2} + 6) = \sqrt{(x^{2} + 6) + 9}$

Add $6$ and $9$ .

$w (x^{2} + 6) = \sqrt{x^{2} + 15}$