SOLUTION: the function f and g are defined as follows f(x)= -x^2+4x-8 and g(x) = -4x^2+3x-10 find the polynomial expression which is equivalent to f(x) -g(x)?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: the function f and g are defined as follows f(x)= -x^2+4x-8 and g(x) = -4x^2+3x-10 find the polynomial expression which is equivalent to f(x) -g(x)?      Log On


   

Question 672597: the function f and g are defined as follows f(x)= -x^2+4x-8 and g(x) = -4x^2+3x-10
find the polynomial expression which is equivalent to f(x) -g(x)?
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given
(1) f(x) = -x^2 + 4x - 8 and
(2) g(x) = -4x^2 + 3x - 10
To find f(x) - g(x) just subtract (2) from (1) to get
(3) (-x^2 + 4x - 8)-(-4x^2 + 3x - 10) or
(4) (-x^2 + 4x^2) + (4x - 3x) + (-8 + 10) or
(5) 3x^2 + x + 2
Answer: f(x)-g(x) = 3x^2 + x + 2