Evaluate (f+g)(3)

$(f + g) (3)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$f \cdot 3 + g \cdot 3$

Reorder.

Move $3$ to the left of $f$ .

$3 \cdot f + g \cdot 3$

Move $3$ to the left of $g$ .

$3 \cdot f + 3 \cdot g$

$3 \cdot f + 3 \cdot g$

$3 \cdot f + 3 \cdot g$

Step 2

Multiply $3$ by $g$ .

$3 f + 3 g$

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