Algebra Examples

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (2 x) = {(2 x)}^{2} - 5 (2 x) + 2$

Step 3

Simplify each term.

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Step 3.1

Apply the product rule to $2 x$ .

$f (2 x) = 2^{2} x^{2} - 5 (2 x) + 2$

Step 3.2

Raise $2$ to the power of $2$ .

$f (2 x) = 4 x^{2} - 5 (2 x) + 2$

Step 3.3

Multiply $2$ by $- 5$ .

$f (2 x) = 4 x^{2} - 10 x + 2$