Algebra Examples

$p (x) = x^{2} - 9 x$ , $q (x) = \sqrt{x + 4}$ , $(p \cdot q) (x)$

Step 1

Evaluate $p \cdot q$ .

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Step 1.1

Replace the function designators in $p \cdot q$ with the actual functions.

$(x^{2} - 9 x) \cdot (\sqrt{x + 4})$

Step 1.2

Apply the distributive property.

$x^{2} \sqrt{x + 4} - 9 x \sqrt{x + 4}$

Step 2

Evaluate $p \cdot q$ at $x$ .

${(x)}^{2} \sqrt{(x) + 4} - 9 x \sqrt{(x) + 4}$

Step 3

Simplify ${(x)}^{2} \sqrt{(x) + 4} - 9 x \sqrt{(x) + 4}$ .

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Step 3.1

Remove parentheses.

${(x)}^{2} \sqrt{(x) + 4} - 9 x \sqrt{(x) + 4}$

Step 3.2

Remove parentheses.

$x^{2} \sqrt{x + 4} - 9 x \sqrt{x + 4}$