Question

*algebra* What is (f−g)(x)?

Answer 1

x^3 -6x^2 +18x-10

Explanation:

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

f(x) = x^3 -2x^2 +12x-6

g(x) =4x^2 -6x +4

f(x) -g(x) =x^3 -2x^2 +12x-6 - (4x^2 -6x +4)

Distribute the minus sign

x^3 -2x^2 +12x-6 - 4x^2 +6x -4

Combine like terms

x^3 -2x^2- 4x^2 +12x+6x-6 -4

x^3 -6x^2 +18x-10