Question

this shows a function.
$f(x)=\

$$\begin{cases} \\frac{8}{x-4};x < -6 \\\\ 6-2x;x \\geq -6 \\end{cases}$$

$
what is the value of $f(-4)$?

Explanation:

Step1: Identify relevant function piece

Since $-4 \geq -6$, use $f(x)=6-2x$.

Step2: Substitute $x=-4$ into the function

$f(-4)=6-2(-4)$

Step3: Calculate the result

$f(-4)=6+8=14$

Answer:

14