Question

F(x) = 3x + 5
g(x) = 4x² – 2
h(x) = x - 3x + 1
Find f(x) – g(x) - h(x).

Answer 1

- 5x² + 6x + 6

Explanation:

f(x) - g(x) - h(x)

= 3x + 5 - (4x² - 2) - (x² - 3x + 1) ← distribute parenthesis

= 3x + 5 - 4x² + 2 - x² + 3x - 1 ← collect like terms

= - 5x² + 6x + 6 ← in standard form

Answer 2

`\large\boxed{f(x)-g(x)-h(x)=-5x^2+6x+6}`

Explanation:

`f(x)=3x+5\\\\g(x)=4x^2-2\\\\h(x)=x^2-3x+1\\\\f(x)-g(x)-h(x)=(3x+5)-(4x^2-2)-(x^2-3x+1)\\\\=3x+5-4x^2-(-2)-x^2-(-3x)-1\\\\=3x+5-4x^2+2-x^2+3x-1\qquad\text{combine like terms}\\\\=(-4x^2-x^2)+(3x+3x)+(5+2-1)\\\\=-5x^2+6x+6`