Algebra Examples

$f (x) = 18 x^{2} - 5 x$ , $g (x) = 13 x - 10$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (18 x^{2} - 5 x)$ by substituting in the value of $f$ into $g$ .

$g (18 x^{2} - 5 x) = 13 (18 x^{2} - 5 x) - 10$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$g (18 x^{2} - 5 x) = 13 (18 x^{2}) + 13 (- 5 x) - 10$

Step 3.2

Multiply $18$ by $13$ .

$g (18 x^{2} - 5 x) = 234 x^{2} + 13 (- 5 x) - 10$

Step 3.3

Multiply $- 5$ by $13$ .

$g (18 x^{2} - 5 x) = 234 x^{2} - 65 x - 10$