Algebra Examples

$u (x) = x^{2} + 1$ , $w (x) = \sqrt{x + 6}$

Step 1

Set up the composite result function.

$w (u (x))$

Step 2

Evaluate $w (x^{2} + 1)$ by substituting in the value of $u$ into $w$ .

$w (x^{2} + 1) = \sqrt{(x^{2} + 1) + 6}$

Step 3

Add $1$ and $6$ .

$w (x^{2} + 1) = \sqrt{x^{2} + 7}$