Precalculus Examples

$g (x) = 5 x - 7$ , $g (x^{2} + 1)$

Step 1

Replace the variable $x$ with $x^{2} + 1$ in the expression.

$g (x^{2} + 1) = 5 (x^{2} + 1) - 7$

Step 2

Simplify $5 (x^{2} + 1) - 7$ .

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Step 2.1

Remove parentheses.

$5 (x^{2} + 1) - 7$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$5 x^{2} + 5 \cdot 1 - 7$

Step 2.2.2

Multiply $5$ by $1$ .

$5 x^{2} + 5 - 7$

Step 2.3

Subtract $7$ from $5$ .

$5 x^{2} - 2$