Algebra Examples

$f (x) = 7 x - 5$ , $g (x) = \frac{6}{x + 5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (7 x - 5)$ by substituting in the value of $f$ into $g$ .

$g (7 x - 5) = \frac{6}{(7 x - 5) + 5}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Add $- 5$ and $5$ .

$g (7 x - 5) = \frac{6}{7 x + 0}$

Step 3.2

Add $7 x$ and $0$ .

$g (7 x - 5) = \frac{6}{7 x}$