Precalculus Examples

$f (x) = x - 12$ $g (x) = 3 x^{2} + 7 x + 1$ Find: $((f \circ g)) (x)$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (3 x^{2} + 7 x + 1)$ by substituting in the value of $g$ into $f$ .

$f (3 x^{2} + 7 x + 1) = (3 x^{2} + 7 x + 1) - 12$

Step 3

Subtract $12$ from $1$ .

$f (3 x^{2} + 7 x + 1) = 3 x^{2} + 7 x - 11$