Question

Use the following functions: yf(x) = 3x - 7

g(x) = 2x - 4
1. Find (f + g)(x).
2. Find (f - g)(x).

Answer 1

(f + g) (x) = 5x - 11

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

Explanation:

f(x) = 3x - 7

g(x) = 2x - 4

to find ; (f + g) (x) and (f - g) (x)

now,

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

= (3x - 7) +( 2x - 4 )

= 3x - 7 + 2x - 4

= 5x - 11

again ,

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

= (3x - 7) - (2x - 4)

= 3x - 7 - 2x + 4

= x + 3