Question

The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exercising.
The function g(x) = 200x − 125 represents the calorie deficit that occurs when combining diet with exercise, where x is the number of hours spent exercising.

What is (f + g)(2)? Explain.

514 calories burned while combining diet with 2 hours of exercise
789 calories burned while combining diet with 2 hours of exercise
514 calories burned while exercising for 2 hours
789 calories burned while exercising for 2 hours

Answer 1

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

$f(x)=2x+510$

$g(x)=200x-125$

we know that

$(f+g)(x)=f(x)+g(x)$

substitute

$(f+g)(x)=2x+510+200x-125$

$(f+g)(x)=202x+385$

Find $(f+g)(2)$

For x=2 hours

substitute

$(f+g)(2)=202(2)+385$

$(f+g)(2)=789\ calories$

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise