Hi,
f + g is a simple sum of the functions. This refers to increasing the good effect of exercise with diet effect, therefore more weight could be lost.
(f + g)(x) = f(x) + g(x) = 2x + 210 + 2x + 125 = 4x + 335, so (f + g)(x) = 4x + 335.
For x = 3 (meaning 3 hours of exercise) we have:
(f + g)(3) = 4·3 + 335 = 12 + 335 = 347 calories, after 3 hours of exercice.
The correct answer is: 347 calories burned while combining diet with 3 hours of exercise.
Have you understood ?
Green eyes.
The combination (f + g)(3) represents 347 calories burned while combining diet with 3 hours of exercise.
The correct answer is (A).
Addition of Function:
The additive property of the function is distributive. Let f (x) and g(x) are two functions then the addition of functions can be found as
f(x) + g(x) = (f + g) (x)
Here we have given that
f (x) = 2x + 210 represent the number of calories burned when exercise
g (x) = 2x + 125 represent the calories deficit when particular diet
Addition these two function for x = 3
(f +g) (3) = f (3) + g (3)
Now we can calculate f (3) by putting x = 3 into function f(x)
Also we can calculate g(3) by putting x = 3 into function g (x)
f (3) = 2(3)+ 210 = 216
g(3) = 2(3) + 125 = 131
Therefore
(f +g) (3) = f (3) + g (3) = 216 + 131 = 347 calories burned.
This show that the combining result of diet as well exercise for 3 hours.
The correct answer is (A).
Learn more about addition of functions here-
https://brainly.com/question/13136492
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