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ollegr [7]
3 years ago
12

The function f(x) represents the time it takes a commuter to travel in the morning to work. The function g(x) represents the tim

e 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.
Mathematics
1 answer:
harina [27]3 years ago
8 0

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

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