Question

If f(x) = 3x2 – 2x + 4 and g(x) = 5x2 + 6x – 8, find (f - g)(x).

Answer 1

(3x^3-2x^2+4x)-(5x^3+6x^2-8x)= -2x^3-8x^2+4x

Answer 2

`\text{The value of (f-g)(x) is }-2x^2-8x+12`

Explanation:

Given two functions f(x) and g(x)

`f(x)=3x^2-2x+4`

`g(x)=5x^2+6x-8`

we have to find the value of (f-g)(x)

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

`(f-g)(x)=3x^2-2x+4-(5x^2+6x-8)`

`(f-g)(x)=3x^2-2x+4-5x^2-6x+8`

`(f-g)(x)=-2x^2-8x+12`

`\text{The value of (f-g)(x) is }-2x^2-8x+12`