Question

1. Consider the functions below.Which of the following is the resulting polynomial whenf(x) is subtracted from g(x)?f(x) = 2x² + 3x - 5g(x) = 5x²+ 4x – 1A –3x² - x - 4B –3x²+x-6C 3x² + x +4D 3x² + 7x - 6

Answer 1

C. 3x² + x +4

Step-by-step explanation:

Given the functions f(x) and g(x) defined as follows:

`\begin{gathered} f\mleft(x\mright)=2x^2+3x-5 \\ g\mleft(x\mright)=5x^2+4x-1 \end{gathered}`

If we subtract f(x) from g(x), we have:

`g(x)-f(x)=(5x^2+4x-1)-(2x^2+3x-5)`

We then open the bracket and simplify:

`\begin{gathered} =5x^2+4x-1-2x^2-3x+5 \\ =5x^2-2x^2+4x-3x-1+5 \\ =3x^2+x+4 \end{gathered}`

The correct choice is C.