For f(x)=x+1 and g(x)=2x2−x−3, find (f−g)(x).
So, (f−g)(x)=−2x2+2x+4
Step 1 :Given the functions f(x)=x+1 and $g(x)=2x^{2}-x-3
Step 2 :We are asked to find (f−g)(x), which means we need to subtract g(x) from f(x)
Step 3 :Subtract each term in g(x) from the corresponding term in f(x)
Step 4 :This gives us −2x2+2x+4
Step 5 :So, (f−g)(x)=−2x2+2x+4