Question

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

Answer 1

`4x^2+6x-6`

Step-by-step 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`