Algebra Examples

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Simplify the numerator.

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Step 3.1

Add $- 2$ and $2$ .

$g (5 x - 2) = \frac{5 x + 0}{5}$

Step 3.2

Add $5 x$ and $0$ .

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

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $x$ by $1$ .

$g (5 x - 2) = x$