Help, Please? (Question Down Below)

P(x)=x42x212x1

What Is P(12)?

Thank You!

1 Answer
Mar 2, 2018

Input 12 instead of x in the function:

x42x212x1

becomes:

(12)42(12)212121

=18(214)111

=1812111

=1.3750

What do we have here!? We can't divide by zero!

As you can see, the function makes no sense. At the instantaneous point of x=12, the value of y will ascend to infinity, and is not seen on a graph.

This is what we call an asymptote. The limit of the function is not defined at the infinitesimally exact point of x=12.

If needed, use desmos.com to graph the function, and marvel at the amazing asymptote you get.