Question

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.

Answer 1

To find (f + g)(2), evaluate both functions at x = 2 and add the results together. This calculation yields 343 calories burned in total when combining the exercise with the diet for 2 hours of exercise.

Step-by-step explanation:

The student is asking about the sum of two functions and evaluating this sum for a specific input value. The functions in question, f(x) = 2x + 210 and g(x) = 2x + 125, represent the number of calories burned from exercising and the calorie deficit from dieting, respectively, per hour of exercise. To find (f + g)(2), we need to evaluate both functions at x = 2 and add the results.

First, evaluate f(2):

• f(2) = 2(2) + 210 = 4 + 210 = 214 calories burned from exercising for 2 hours.

Then, evaluate g(2):

• g(2) = 2(2) + 125 = 4 + 125 = 129 calorie deficit from dieting with 2 hours of exercise.

Now, calculate the sum:

• (f + g)(2) = f(2) + g(2) = 214 + 129 = 343 calories.

Therefore, (f + g)(2) equals to 343 calories, which represents the total calories burned when combining both the exercise and the diet calorie deficits for 2 hours of exercise.