Question

evaluate the given function for ( f(12) ).
( f(x) = -\frac{1}{3}x + 6 )
a. ( f(12) = 2 )
b. ( f(12) = 10 )
c. ( f(12) = 6 )
d. ( f(12) = -18 )

Explanation:

Step1: Identify the function

The function is \( f(x) = -\frac{1}{3}x + 6 \), and we need to find \( f(12) \).

Step2: Substitute \( x = 12 \) into the function

Substitute \( x = 12 \) into \( f(x) \):
\( f(12) = -\frac{1}{3}(12) + 6 \)

Step3: Simplify the expression

First, calculate \( -\frac{1}{3}(12) \):
\( -\frac{1}{3} \times 12 = -4 \)

Then, add 6:
\( -4 + 6 = 2 \)

Answer:

A. \( f(12) = 2 \)