Finite Math Examples

$f (x) = 15 x - 12$ , $g (x) = - 15 x^{2} + 14 x - 10$ , findg $(g (7))$

Step 1

Replace the function designators in $g (7)$ with the actual functions.

$(- 15 x^{2} + 14 x - 10) (7)$

Step 2

Simplify $(- 15 x^{2} + 14 x - 10) (7)$ .

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Step 2.1

Remove parentheses.

$(- 15 x^{2} + 14 x - 10) (7)$

Step 2.2

Apply the distributive property.

$- 15 x^{2} \cdot 7 + 14 x \cdot 7 - 10 \cdot 7$

Step 2.3

Simplify.

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Step 2.3.1

Multiply $7$ by $- 15$ .

$- 105 x^{2} + 14 x \cdot 7 - 10 \cdot 7$

Step 2.3.2

Multiply $7$ by $14$ .

$- 105 x^{2} + 98 x - 10 \cdot 7$

Step 2.3.3

Multiply $- 10$ by $7$ .

$- 105 x^{2} + 98 x - 70$