Precalculus Examples

$f (6.4) = \frac{(x - 1) - | x - 5 |}{2}$

Step 1

Replace the variable $x$ with $6.4$ in the expression.

$f (6.4) = \frac{((6.4) - 1) - | (6.4) - 5 |}{2}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

Subtract $5$ from $6.4$ .

$f (6.4) = \frac{6.4 - 1 - | 1.4 |}{2}$

Step 2.1.2

The absolute value is the distance between a number and zero. The distance between $0$ and $1.4$ is $1.4$ .

$f (6.4) = \frac{6.4 - 1 - 1 \cdot 1.4}{2}$

Step 2.1.3

Multiply $- 1$ by $1.4$ .

$f (6.4) = \frac{6.4 - 1 - 1.4}{2}$

Step 2.1.4

Subtract $1$ from $6.4$ .

$f (6.4) = \frac{5.4 - 1.4}{2}$

Step 2.1.5

Subtract $1.4$ from $5.4$ .

$f (6.4) = \frac{4}{2}$

Step 2.2

Divide $4$ by $2$ .

$f (6.4) = 2$

Step 2.3

The final answer is $2$ .

$2$

Step 3