Question

find and simplify the function $(f + g)(x)$ where, $f(x) = 7x + 3$ and $g(x) = 4x - 5$. select one: a. $(f + g)(x) = 11x + 2$. b. $(f + g)(x) = 11x - 2$. c. $(f + g)(x) = 3x + 8$. d. $(f + g)(x) = -11x - 2$.

Explanation:

Step1: Define sum of functions

$(f+g)(x) = f(x) + g(x)$

Step2: Substitute given functions

$(f+g)(x) = (7x+3) + (4x-5)$

Step3: Combine like terms

$(f+g)(x) = (7x+4x) + (3-5) = 11x - 2$

Answer:

B. $(f + g)(x) = 11x - 2$