Question

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

f(x)=x-2
g(x) = 2x+2
Write the expressions for (f-g)(x) and (f.g)(x) and evaluate (f+g)(-1).

Answer 1

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

(f.g)(x)= 2x^2 -2x-4

(f+g)(-1) = 3(-1) = -3

Explanation:

Hi, to answer this question we have to solve the expressions:

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

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

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

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

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

(f.g)(x)= 2x^2 +2x-4x-4

(f.g)(x)= 2x^2 -2x-4

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

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

(f+g)(x)= 3x

(f+g)(-1) = 3(-1) = -3

Feel free to ask for more if needed or if you did not understand something.