Algebra Examples

$f (x) = \frac{x - 1}{2}$ , $g (x) = x^{2}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Apply the product rule to $\frac{x - 1}{2}$ .

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

Step 4

Raise $2$ to the power of $2$ .

$g (\frac{x - 1}{2}) = \frac{{(x - 1)}^{2}}{4}$