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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
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,
[tex](f+g)(x)=f(x)+g(x)\\ =(4x+13)(10x-3)\\ =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
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