Question

What is the graph of the function f(x) = -x^2+x+20/x+4

Answer 1

f(x) = (-x²+x+20) / (x+4)

-x²+x+20     | x+4
+x²+4x          -x+5
 \\\\ 5x+20
     -5x-20
      \\\\\\\\\
 
 f(x) = (x+4)(-x+5) / (x+4)
 
 f(x) = (-x+5)

The graph is a decreasing line, with origin from 5.