Precalculus Examples

$f (x) = x - 2$ $g (x) = 2 x^{2} - 5 x + 8$ Find: $f (g (x))$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x^{2} - 5 x + 8)$ by substituting in the value of $g$ into $f$ .

$f (2 x^{2} - 5 x + 8) = (2 x^{2} - 5 x + 8) - 2$

Step 3

Subtract $2$ from $8$ .

$f (2 x^{2} - 5 x + 8) = 2 x^{2} - 5 x + 6$