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

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