Precalculus Examples

$f (x) = 2 x + 5$ , $g (x) = 5 x - 1$ , $((g \circ f)) (x)$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (2 x + 5) = 5 (2 x + 5) - 1$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Apply the distributive property.

$g (2 x + 5) = 5 (2 x) + 5 \cdot 5 - 1$

Step 3.2

Multiply $2$ by $5$ .

$g (2 x + 5) = 10 x + 5 \cdot 5 - 1$

Step 3.3

Multiply $5$ by $5$ .

$g (2 x + 5) = 10 x + 25 - 1$

Step 4

Subtract $1$ from $25$ .

$g (2 x + 5) = 10 x + 24$