What is the domain of the function

Question

What is the domain of the function f(x)= x+1/2x-1

 

A.all real numbers except −1

B.all real numbers except 

C.all real numbers except 

D.all real numbers except 1

 

Answer 1

Hi Makayla,

 

The function f(x) is not defined when the denominator is equal to zero

 

I will make an assumption that the expression should be (x+1)/(2x-1)

 

therefore  when 2x-1=0 the function would not be defined

 

2x - 1=0

 

2x = 1

 

x =1/2

 

all real numbers except 1/2

 

if my assumption above is incorrect you will get a different answer

 

hope this helps

Answer 2

Alright, Makayla, glad to help again.  The domain is what we are allowed to put into the equation.

 

There are no limits on the numerator, so ignore it.  The denominator, however, cannot equal 0, right?

 

We have to find what value for x would make the denominator equal 0.

 

2x - 1 = 0

     2x = 1

       x = 1/2

 

So, our answer is all real numbers except 1/2.