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

(f + g)(x) = 15x - 2

Step-by-step explanation:

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.

Now, given that f(x) = 3x − 10 and g(x) = 12x + 8, and we have to determine (f + g)(x) for the total round trip time.

So, (f + g)(x) = f(x) + g(x) = (3x - 10) + (12x + 8) = 15x - 2

Hence, (f + g)(x) = 15x - 2 (Answer)

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

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