Precalculus Examples

$f (x) = 2 x + 1$ , $g (x) = x^{2} - x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (x^{2} - x) = 2 (x^{2} - x) + 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$f (x^{2} - x) = 2 x^{2} + 2 (- x) + 1$

Step 3.2

Multiply $- 1$ by $2$ .

$f (x^{2} - x) = 2 x^{2} - 2 x + 1$