Precalculus Examples

$f (x) = 2 x - 1$ , $g (x) = x + 3$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 3)$ by substituting in the value of $g$ into $f$ .

$f (x + 3) = 2 (x + 3) - 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$f (x + 3) = 2 x + 2 \cdot 3 - 1$

Step 3.2

Multiply $2$ by $3$ .

$f (x + 3) = 2 x + 6 - 1$

Step 4

Subtract $1$ from $6$ .

$f (x + 3) = 2 x + 5$