Question

Given f(x) = x + 2 and g(x) = x + 6, what is (f + g)(-3)?

A. -11
B. -1
C. 5
D. 11

Answer 1

To find (f + g)(-3), substitute -3 into both f(x) and g(x), and then add the resulting values together. The correct answer is 2.

Step-by-step explanation:

To find (f + g)(-3), substitute -3 into both f(x) and g(x), and then add the resulting values together.

Start with f(x) = x + 2. Substitute -3 into x: f(-3) = (-3) + 2 = -1.

Next, look at g(x) = x + 6. Substitute -3 into x: g(-3) = (-3) + 6 = 3.

Finally, add the results from f(-3) and g(-3): (f + g)(-3) = (-1) + 3 = 2.

Therefore, the correct value is 2, showcasing the process of substituting and summing function values to compute the sum of two functions at a specific point.