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.

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absor201 absor201 · Answer 1 · 2020-01-15T18:01:46+01:00

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

Step-by-step explanation:

Given

[tex]f(x) = 4x+13\\g(x) = 10x-2[/tex]

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.

[tex](f+g)(x) = f(x)+g(x)\\= (4x+13)+(10x-2)\\=4x+13+10x-2\\=4x+10x+13-2\\=14x+11[/tex]

Hence,

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

Keywords: Functions, variables

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cedrickfortun750 cedrickfortun750 · Answer 2 · 2021-02-09T20:33:46+01:00

Answer:

It's 14x+11.

Step-by-step explanation:

I got it right on the test.

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