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.

Answer 1

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

Step-by-step explanation:

Given

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

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.

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

Hence,

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

Keywords: Functions, variables

Learn more about functions at:

• brainly.com/question/663692
• brainly.com/question/6569012

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