Precalculus Examples

$f (x) = x - 7$ $g (x) = 3 x^{2} - 7 x - 10$ Find: $((f \circ g)) (x)$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (3 x^{2} - 7 x - 10)$ by substituting in the value of $g$ into $f$ .

$f (3 x^{2} - 7 x - 10) = (3 x^{2} - 7 x - 10) - 7$

Step 3

Subtract $7$ from $- 10$ .

$f (3 x^{2} - 7 x - 10) = 3 x^{2} - 7 x - 17$