Question

If f(x)=3x+2 and g(x)=4x-1, then (f-g)(-3)=6

Answer 1

f-g (x) = 3x + 2 - 4x + 1 = -x + 3
So f-g (-3) = -(-3) + 3 = 3+3 = 6

Answer 2

Hence proved that the value of (f-g)(-3) is 6.

Given: The functions f(x)=3x+2 and g(x)=4x-1.

To Prove: The value of (f-g)(x) = 6.

Solution:

f(x)=3x+2 and g(x)=4x-1.

(f-g)(x) = 3x+2 - (4x-1)

= 3x+2 - 4x+1

= -x + 3

Put x = 3 for (f-g)(-3).

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

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

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

(f-g)(-3) = 6

Hence proved.

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