# Question #83615

Jul 22, 2016

$f \left(3\right) = 4$

#### Explanation:

To evaluate a function $f \left(x\right)$ at a given point $a$, we substitute in $a$ wherever $x$ is in the function.

The absolute value of any real number is the distance of that number from $0$ on the number line. That is, $| x | = x$ if $x \ge 0$ and $| x | = - x$ if $x < 0$

With these in mind:

$f \left(3\right) = | \left(3\right) - 5 | + 2$

$= | - 2 | + 2$

$= 2 + 2$

$= 4$