Question

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

Answer 1

zero

Explanation:

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

Suppose

`f(x)=(1)/(x)`

Substitute x=0 then we get

`f(x)=(1)/(0)=\infty`

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.

Answer 2

zero

Explanation:

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