Precalculus Examples

$f (x) = \frac{1}{2} x - 7$ , $g (x) = x + 6$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{1}{2} x - 7)$ by substituting in the value of $f$ into $g$ .

$g (\frac{1}{2} x - 7) = (\frac{1}{2} x - 7) + 6$

Step 3

Combine $\frac{1}{2}$ and $x$ .

$g (\frac{1}{2} x - 7) = \frac{x}{2} - 7 + 6$

Step 4

Add $- 7$ and $6$ .

$g (\frac{1}{2} x - 7) = \frac{x}{2} - 1$