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The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising.The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the number of hours spent exercising.What is (f + g)(2)? Explain. 214 calories burned while exercising for 2 hours. 214 calorie calories burned when combining diet with 2 hours of exercise. 343 calories burned while dieting for 2 hours. 343 calories burned while combining diet with 2 hours of exercise.

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SOLUTION

From the functions given

[tex]\begin{gathered} f(x)=2x+210\text{ and } \\ g(x)=2x+125 \\ We\text{ want to find } \\ (f+g)(2) \end{gathered}[/tex]

Now this means we have to add first add the functions, we have

[tex]\begin{gathered} f(x)+g(x)=2x+210+2x+125 \\ =2x+2x+210+125 \\ =4x+335 \\ So, \\ (f+g)(x)=4x+335 \end{gathered}[/tex]

Next we substitute x for 2 in the equation we got, we have

[tex]\begin{gathered} (f+g)(x)=4x+335 \\ (f+g)(2)=4(2)+335 \\ =8+335 \\ =343 \end{gathered}[/tex]

So, the answer we got is 343.

This means

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