Question

If f(x)=3x-5, g(x)=7x-3, find (f+g)(x) and (f-g)(x

Answer 1

Step-by-step explanation: To find (f+g)(x), we simply add the two functions:

(f+g)(x) = f(x) + g(x)

= (3x - 5) + (7x - 3)

= 10x - 8

Therefore, (f+g)(x) = 10x - 8.

To find (f-g)(x), we subtract g(x) from f(x):

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

= (3x - 5) - (7x - 3)

= -4x - 8

Therefore, (f-g)(x) = -4x - 8.