Question

1. what is $f(-8)$ for the function $f$?

$f(x) = \frac{11(x - 24)}{2}$
a $-56$
b $-88$
c $-176$
d $-352$

Explanation:

Step1: Substitute \( x = -8 \) into \( f(x) \)

Substitute \( x = -8 \) into the function \( f(x)=\frac{11(x - 24)}{2} \), we get \( f(-8)=\frac{11(-8 - 24)}{2} \).

Step2: Calculate the value inside the parentheses

First, calculate \( -8 - 24=-32 \), so the expression becomes \( f(-8)=\frac{11\times(-32)}{2} \).

Step3: Simplify the numerator

Calculate \( 11\times(-32)=-352 \), then the expression is \( f(-8)=\frac{-352}{2} \).

Step4: Divide to get the result

Divide \( -352 \) by \( 2 \), we get \( -176 \).

Answer:

C. -176