Question

What is the graph of the function f(x) = the quantity of x squared plus 3 x minus 4, all over x plus 4

Answer 1

See attached

Explanation:

The expression simplifies to ...

... f(x) = (x-1)(x+4)/(x+4)

... f(x) = x -1 . . . . . . . . . x ≠ -4 . . . . . factors of x+4 cancel

The graph is that of the line

... y = x -1

with a "hole" at x=-4, y=-5, where the function is undefined (because the denominator is zero there).