Question

If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Answer 1

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

step-by-step explanation:

f ( x ) = 3x - 1

g ( x ) = x + 2

• (f - g )(x ) = ( 3x - 1 ) - ( x + 2. )

remove unnecessary parantheses

• 3 x - 1 - x - 2

collect like terms

• 3x - x - 1 -2
• 2 x -3

Answer 2

2x-3

Explanation:

f (x) = 3x - 1

g(x) = x + 2

(f - g)(x) = 3x-1 - ( x+2)

Distribute the minus sign

= 3x-1 -x-2

Combine like terms

= 3x-x-1-2

= 2x-3