Question

Given f(x) = -4x + 7 and g(x) = 6x, what is the value of (f+g)(3)?

A. -5
B. 19
C. 13
D. 1

Answer 1

To find (f+g)(3), evaluate f(3) and g(3), which are -5 and 18, respectively. The sum of these values gives us (f+g)(3) which is 13. Hence, the correct answer is C. 13.

Step-by-step explanation:

To find the value of (f+g)(3), you need to evaluate both functions f(x) and g(x) at x = 3 and then sum the results. The function f(x) is defined as -4x + 7, and the function g(x) is defined as 6x.

First, let's evaluate f(3):

• f(3) = -4(3) + 7 = -12 + 7 = -5

Next, evaluate g(3):

• g(3) = 6(3) = 18

Now, sum f(3) and g(3) to get (f+g)(3):

• (f+g)(3) = f(3) + g(3) = -5 + 18 = 13

Therefore, the correct answer is C. 13.