Question

Let f(x)=3x^2+x-3 and g(x)=x^2-5x+1. Find f(x)-g(x)

Answer 1

Answer:

$2x^{2} + 6x - 4$

Step-by-step explanation:

$(3x^{2} + x - 3) - (x^{2} - 5x + 1) \\ 3x^{2} + x - 3 - x^{2} + 5x - 1 \\ combine\: like \: terms \\ 2x^{2} + 6x - 4$

Answer 2

Subtract each term of g(x) from each corresponding term of f(x)

3x^2 - x^2 = 2x^2

X—5x = x +5x = 6x

-3 -1 =-4

Now combine them to get final answer:

2x^2 + 6x -4