Precalculus Examples

$f (x) = x^{2} - 1$ , $g (x) = 2 x$

Distribute the value across the operation.

$f (x) + g (x)$

Evaluate $f (x)$ .

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

$f (x) = {(x)}^{2} - 1$

Simplify the result.

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Remove parentheses around $x$ .

$f (x) = x^{2} - 1$

The final answer is $x^{2} - 1$ .

$x^{2} - 1$

Evaluate $g (x)$ .

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

$g (x) = 2 (x)$

Simplify the result.

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Multiply $2$ by $x$ to get $2 x$ .

$g (x) = 2 x$

The final answer is $2 x$ .

$2 x$

Compose the result function for $f (x) + g (x)$ by replacing the function designators with the actual functions.

$x^{2} - 1 + 2 x$

Simplify.

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Remove parentheses.

$x^{2} - 1 + 2 x$

Move $- 1$ .

$x^{2} + 2 x - 1$

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

$(- \infty, \infty)$

${x | x \in ℝ}$

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