Evaluate (f(4+2)-f(4))/2

$\frac{f (4 + 2) - f (4)}{2}$

Step 1

Simplify the numerator.

Factor $f$ out of $f (4 + 2) - f \cdot 4$ .

Factor $f$ out of $- f \cdot 4$ .

$\frac{f (4 + 2) + f (- 1 \cdot 4)}{2}$

Factor $f$ out of $f (4 + 2) + f (- 1 \cdot 4)$ .

$\frac{f (4 + 2 - 1 \cdot 4)}{2}$

$\frac{f (4 + 2 - 1 \cdot 4)}{2}$

Multiply $- 1$ by $4$ .

$\frac{f (4 + 2 - 4)}{2}$

Add $4$ and $2$ .

$\frac{f (6 - 4)}{2}$

Subtract $4$ from $6$ .

$\frac{f \cdot 2}{2}$

$\frac{f \cdot 2}{2}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{f \cdot 2}{2}$

Divide $f$ by $1$ .

$f$

$f$

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