Suppose that the functions f and g are defined for all real numbers x as follows.

f (x) = x-5

g (x) = 4x+1

write the expression for (f+g) (x) and (f*g) (x) and evaluate (f-g) (3)

(f+g) (x) = ?

(f*g) (x) = ?

(f-g) (3) = ?

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

(f*g) (x) = (4x^2-19x-5)

(f-g) (3) = (-15)

Step-by-step explanation:

(f+g) (x) = (x-5) + (4x+1) = (5x-4)

(f*g) (x) = (x-5) (4x-1) = (4x^2-19x-5)

(f-g) (3) = (x-5) - (4x-1) = (3-5) - (4 (3) + 1) = (-2) - (12+1) = (-2) - (13) = -15 substitute 3 for x