Question

if $f(x) = 11 - 6(x - 8)$, what is $f(-3)$?

a. -55

b. -19

c. 41

d. 77

Explanation:

Step1: Substitute \( x = -3 \) into \( f(x) \)

Substitute \( x = -3 \) into the function \( f(x) = 11 - 6(x - 8) \), we get \( f(-3)=11 - 6(-3 - 8) \).

Step2: Simplify the expression inside the parentheses

First, calculate the value inside the parentheses: \( -3 - 8=-11 \). So the function becomes \( f(-3)=11 - 6\times(-11) \).

Step3: Calculate the multiplication

Calculate \( 6\times(-11)= - 66 \), then the function is \( f(-3)=11-(-66) \).

Step4: Simplify the subtraction

Since subtracting a negative number is like adding the positive, \( 11-(-66)=11 + 66 = 77 \).

Answer:

D. 77