Question

Let f(x) = 3x + 2 and g(x) =x - 3. Find f(x) - g(x).

Answer 1

2x + 5 is your answer 

Answer 2

Answer: Hello!

if the functions in our problem are:

f(x) = 3x + 2, and g(x) = x - 3

you can calculate their difference in this way:

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

now i replace f(x) and g(x) for their values and simplify the equation.

= (3x + 2) - (x - 3) = 3x + 2 -x +3 = (3x - x) + (2 + 3) = 2x + 5

So the solution is f(x) - g(x) = 2x + 5.