emilyshayecooper15 emilyshayecooper15
  • 07-03-2019
  • Mathematics
contestada

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

Respuesta :

carlosego
carlosego carlosego
  • 07-03-2019

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:

[tex]f (x) = \frac {3x} {x-1}[/tex]

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

[tex]x-1 = 0\\x = 0 + 1\\x = 1[/tex]

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

Answer:

Option C

Answer Link
amarik180
amarik180 amarik180
  • 07-03-2019
Answer is C.) all real numbers except 1
Answer Link

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