Question

If f(x)=-5× -4 and g(x) = -3x-2, find (f-g)(x)

Answer 1

(f-g)(x) = -2x - 2

Explanation:

You may find it easier to find this difference if you'd write the two functions in a column:

(f-g)(x) =

-5x - 4

-(-3x - 2)

-------------

-2x - 2

So: (f-g)(x) = -2x - 2

Answer 2

Answer: If you have two functions, f and g, the operation (f - g)(x) is defined as the difference between the functions f and g valued in the point x.

If f(x) = -5*x - 4 and g(x) = -3*x - 2.

So (f - g)(x) = f(x) - g(x) = -5*x - 4 - (-3*x - 2) = -5*x +3*x - 4 + 2 = (-5 + 3)*x - 4 +2 = 2*x - 2.

so (f - g)(x) = -2*x - 2.