Precalculus Examples

$\frac{f (3 + h) - f \cdot 3}{3 + h - 3}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Factor $f$ out of $f (3 + h) - f \cdot 3$ .

Tap for more steps...

Step 1.1.1

Factor $f$ out of $- f \cdot 3$ .

$\frac{f (3 + h) + f (- 1 \cdot 3)}{3 + h - 3}$

Step 1.1.2

Factor $f$ out of $f (3 + h) + f (- 1 \cdot 3)$ .

$\frac{f (3 + h - 1 \cdot 3)}{3 + h - 3}$

$\frac{f (3 + h - 1 \cdot 3)}{3 + h - 3}$

Step 1.2

Multiply $- 1$ by $3$ .

$\frac{f (3 + h - 3)}{3 + h - 3}$

Step 1.3

Subtract $3$ from $3$ .

$\frac{f (h + 0)}{3 + h - 3}$

Step 1.4

Add $h$ and $0$ .

$\frac{f h}{3 + h - 3}$

$\frac{f h}{3 + h - 3}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Subtract $3$ from $3$ .

$\frac{f h}{h + 0}$

Step 2.2

Add $h$ and $0$ .

$\frac{f h}{h}$

$\frac{f h}{h}$

Step 3

Cancel the common factor of $h$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{f h}{h}$

Step 3.2

Divide $f$ by $1$ .

$f$

$f$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$