Precalculus Examples

Find $g (4 c)$ if $g (x) = 2 x^{2} - 3 x + 8$

Step 1

Replace the variable $x$ with $4 c$ in the expression.

$g (4 c) = 2 {(4 c)}^{2} - 3 (4 c) + 8$

Step 2

Simplify $2 {(4 c)}^{2} - 3 (4 c) + 8$ .

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Step 2.1

Remove parentheses.

$2 {(4 c)}^{2} - 3 (4 c) + 8$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the product rule to $4 c$ .

$2 (4^{2} c^{2}) - 3 (4 c) + 8$

Step 2.2.2

Raise $4$ to the power of $2$ .

$2 (16 c^{2}) - 3 (4 c) + 8$

Step 2.2.3

Multiply $16$ by $2$ .

$32 c^{2} - 3 (4 c) + 8$

Step 2.2.4

Multiply $4$ by $- 3$ .

$32 c^{2} - 12 c + 8$