Question

The function f(x) represents the time it takes a commuter to travel in the morning to work. The function g(x) represents the time it takes a commuter to travel in the evening from work. Given f(x) = 5x − 7 and g(x) = 11x − 1, solve for (f + g)(x) to determine the total roundtrip time.

Answer 1

Answer:

$\left(f\:+\:g\right)\left(x\right)\:=\:16x-8$

Step-by-step explanation:

Given

$f(x) = 5x-7$

and

$g(x) = 11x -1$

As the formula

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

                $=\left[5x\:-\:7\right]\:+\:\left[11x\:-1\right]$

                 $=5x-7+11x-1$

                 $=5x+11x-7-1$

                 $=16x-7-1$

                 $=16x-8$

Therefore,

$\left(f\:+\:g\right)\left(x\right)\:=\:16x-8$