Option D) is correct option that is the function , (f + g)(x) = x – 7
Note that if we have been given two functions which are f(x) and g(x) then their addition will be given as
(f + g)(x) = f(x) + g(x) (1)
We have been given the equation as
f(x) = -3x - 5 and g(x) = 4x – 2
putting the required value in equation (1) we get
(f + g)(x) = (-3x-5) + (4x-2)
(f + g)(x) = -3x – 5 + 4x – 2
(f + g)(x) = x – 7
Thus option D) is the correct option that is the function, (f + g)(x) = x – 7
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