Question

f(x) = \

$$\begin{cases} (x - 2)^2 - 1 & \\text{for} & x < 2 \\\\ 1 & \\text{for} & x = 2 \\\\ -x + 1 & \\text{for} & 2 < x \\leq 5 \\end{cases}$$

find f(7)

Explanation:

Step1: Check domain of x=7

The piecewise function is defined for $x<2$, $x=2$, and $2

Answer:

$f(7)$ is undefined, as 7 is not in the domain of the function $f(x)$.