Describe 11

Describe and correct the error in finding the difference function of (f-g) (x) of f(x) =(x²+3x-1) and g(x) =(x²+x+2)
(f-g) (x) =f(x)-g(x) =(x²+3x-1) - (x²+x+2)
=x²+3x-1 -x²+x+2
=x²-x²+3x+x-1+2
=4x+1

Correct answer:

d = 2x+3

Step-by-step explanation:

$$\begin{gathered} f(x)=(x^2+3x-1) \\ g(x)=(x^2+x+2) \\ d(x)=f(x)-g(x)=(x^2+3x-1)-(x^2+x+2) \\ d=x^2+3x-1-x^2-x-2 \\ d=x^2-x^2+3x-x-1-2 \\ d=2x+3 \end{gathered}$$

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