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

Answer 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.

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