Respuesta :

Answer:

zero

Step-by-step explanation:

Given a rational function then the denominator cannot be zero as this would make the function undefined.

Answer:

zero

Step-by-step explanation:

We have to fill the correct word in the blank space.

Suppose

[tex]f(x)=\frac{1}{x}[/tex]

Substitute x=0 then we get

[tex]f(x)=\frac{1}{0}=\infty[/tex]

The function is not defined at x=0

Because the denominator of the function at x=0 is zero which makes the function not define.

When the definition of a function involves  a fraction , the function is undefined at any value that would make the denominator of the function zero.