Question

The function f(x) represents the time it takes an airplane to travel east. The function g(x) represents the time it takes an airplane to travel west. Given f(x) = 4x 13 and g(x) = 10x − 2, solve for (f g)(x) to determine the total roundtrip time. (f g)(x) = 14x 15 (f g)(x) = 14x 11 (f g)(x) = 6x 11 (f g)(x) = 6x 15.

Answer 1

The total time taken for round trip will be  (f+g)(x) = 14x+11

We have given that

f(x)=4x+13and g(x)=10x-2

What is the round trip time?

In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.

Therefore we get,

$(f+g)(x)=f(x)+g(x)\\ =(4x+13)(10x-3)\\ =4x+13+10x-2\\ =4x+10x+13-2\\ =14x+11$

Hence,The total time taken for round trip will be: (f+g)(x) = 14x+11

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