Algebra Examples

$f (x) = \frac{x - 5}{2}$ $g (x) = 2 x - 5$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (\frac{x - 5}{2}) = 2 (\frac{x - 5}{2}) - 5$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$g (\frac{x - 5}{2}) = 2 (\frac{x - 5}{2}) - 5$

Step 3.2

Rewrite the expression.

$g (\frac{x - 5}{2}) = x - 5 - 5$

Step 4

Subtract $5$ from $- 5$ .

$g (\frac{x - 5}{2}) = x - 10$