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

1. Philomena
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.