Finite Math Examples

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

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

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

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

Step 3.2

Multiply $5$ by $4$ .

$f (5 x^{2} + 5 x) = 20 x^{2} + 4 (5 x) + 4$

Step 3.3

Multiply $5$ by $4$ .

$f (5 x^{2} + 5 x) = 20 x^{2} + 20 x + 4$