Precalculus Examples

$f (x) = 5$

Step 1

Consider the difference quotient formula.

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

Step 2

Find the components of the definition.

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Step 2.1

Evaluate the function at $x = x + h$ .

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Step 2.1.1

Replace the variable $x$ with $x + h$ in the expression.

$f (x + h) = 5$

Step 2.1.2

The final answer is $5$ .

$5$

Step 2.2

Find the components of the definition.

$f (x + h) = 5$

$f (x) = 5$

$f (x + h) = 5$

$f (x) = 5$

Step 3

Plug in the components.

$\frac{f (x + h) - f (x)}{h} = \frac{5 - (5)}{h}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply $- 1$ by $5$ .

$\frac{5 - 5}{h}$

Step 4.1.2

Subtract $5$ from $5$ .

$\frac{0}{h}$

Step 4.2

Divide $0$ by $h$ .

$0$

Step 5