Precalculus Examples

$f (x) = x + 10$ $g (x) = x^{2} + 2 x - 7$ Find: $((f \circ g)) (x)$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x^{2} + 2 x - 7)$ by substituting in the value of $g$ into $f$ .

$f (x^{2} + 2 x - 7) = (x^{2} + 2 x - 7) + 10$

Step 3

Add $- 7$ and $10$ .

$f (x^{2} + 2 x - 7) = x^{2} + 2 x + 3$