Question

Given f(x) = 2x - 1 and g(x) = -5x, evaluate (g+f)(2). Your answer:

a. -13
b. -7
c. 5

Answer 1

To calculate (g+f)(2), find g(2) and f(2) and add them together; the result is -7, making b. -7 the correct answer.

Step-by-step explanation:

To evaluate (g+f)(2), we need to find the sum of g(2) and f(2). Using the given functions f(x) = 2x - 1 and g(x) = -5x, let's substitute x with 2:

• 
  
• 
  

Now, add the results of f(2) and g(2) to get (g+f)(2):

(g+f)(2) = g(2) + f(2) = -10 + 3 = -7.

Therefore, the answer is b. -7.