Question

What is the domain of f(x)=3x/x-1?

A) all real numbers
B) all nonzero numbers
C) all real numbers except 1
D) all real numbers except 3

Answer 1

Answer is C.) all real numbers except 1

Answer 2

For this case, we have by definition the domain of a function is given by all the values for which the function is defined.

We have the function:

`f (x) = \frac {3x} {x-1}`

It is not defined when the denominator is 0. This is when:

`x-1 = 0\\x = 0 + 1\\x = 1`

Thus, the domain of the function is given by all the real numbers minus the 1.

Answer:

Option C