Question

Consider the rational function *f* given below.

f(x) =

x^{2} − x − 20 |

x^{2} + 3x − 4 |

Identify any holes in the graph.

Step 1

To determine if there are any points where the given rational function is not defined (on the real axis)

Step 2

On the face of it, domain of f(x) seems to exclude two points, namely x==4 and x=1.

Step 3

At all other points (ie except x=-4 and x=1)m f(x) is well defined...

Tagged in

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