Question

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

OA. (f- g)(x) = 5X- 3x+2
O B. (f- g)(x)=-5 + 3x- 2
O C. (f- 9(x)=-5- 3x+ 6
O D. (f- g)(x) = -2x-2

Answer 1

To find (f - g)(x), subtract g(x) from f(x) by subtracting the corresponding terms. Simplify the expression and combine like terms.

Step-by-step explanation:

To find (f - g)(x), we subtract the function g(x) from the function f(x). The subtraction is performed by subtracting the corresponding terms of the two functions:

(f - g)(x) = (f(x) - g(x)) = (-5x - 4) - (-3x - 2)

Simplifying the expression, we distribute the negative sign to the terms inside the parentheses:

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

Combining like terms, we have:

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