Question

f(x) = x²+ 2x - 5g(x) = -3x2 - 4x + 1What is f(x) - g(x)

Answer 1

Answer:

$4x^2+6x-6$

Explanation:

Given f(x) and g(x) defined below:

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

We then have:

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

We simplify the result.

$\begin{gathered} =x^2+2x-5+3x^2+4x-1 \\ \text{Collect like terms} \\ =x^2+3x^2+2x+4x-5-1 \\ =4x^2+6x-6 \end{gathered}$

Thus:

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