Algebra Examples

$m (x) = \sqrt{x + 4}$ , $n (x) = x + 3$ , $(m \cdot n) (x)$

Step 1

Evaluate $m \cdot n$ .

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Step 1.1

Replace the function designators in $m \cdot n$ with the actual functions.

$(\sqrt{x + 4}) \cdot (x + 3)$

Step 1.2

Apply the distributive property.

$\sqrt{x + 4} x + \sqrt{x + 4} \cdot 3$

Step 1.3

Move $3$ to the left of $\sqrt{x + 4}$ .

$\sqrt{x + 4} x + 3 \sqrt{x + 4}$

Step 2

Evaluate $m \cdot n$ at $x$ .

$\sqrt{(x) + 4} (x) + 3 \sqrt{(x) + 4}$

Step 3

Simplify $\sqrt{(x) + 4} (x) + 3 \sqrt{(x) + 4}$ .

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Step 3.1

Remove parentheses.

$\sqrt{(x) + 4} (x) + 3 \sqrt{(x) + 4}$

Step 3.2

Remove parentheses.

$\sqrt{x + 4} x + 3 \sqrt{x + 4}$