Question

The function f(x) represents the time it takes a boat to travel upstream. the function g(x) represents the time it takes a boat to travel downstream. given f(x) = 3x − 10 and g(x) = 12x 8, solve for (f g)(x) to determine the total roundtrip time. (f g)(x) = 15x − 2 (f g)(x) = 9x − 2 (f g)(x) = 15x 2 (f g)(x) = 9x 2

Answers

  1. The (f + g)(x) = 15x – 2 is represent the total round trip time.
    According to the statement
    we have given that the f(x) represents the time it takes a boat to travel upstream and g(x) represents the time it takes a boat to travel downstream.
    And we have to find the total round trip time.
    So, For this purpose, the given information is:
    f(x) = 3x − 10 and g(x) = 12x + 8
    And
    The total round trip time is represented by the term (f + g)(x)
    We know that the
    (f + g)(x) = f(x) + g(x)
    Substitute the given values in it
    So, (f + g)(x) = f(x) + g(x)
    (f + g)(x) = (3x – 10) + (12x + 8)
    (f + g)(x) = 15x – 2
    Hence, The (f + g)(x) = 15x – 2 is represent the total round trip time.
    Learn more about Upstream and downstream here
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