4w-3/4w^2-1

Question

I need to find the domain

Answer 1

Note:  4W² -1  = (2W-1)(2W+1)=0

 

                          2W-1=0   or 2w+1=0    Solve   for "W.

Remember that a Denominator of a division problem can't =0.  If it does, then the answer is undefined. 

Answer 2

Roxann, remember that the domain is what is allowed to be the value of x.  In this case, we can't have the denominator equal to 0, so set 4w^2 - 1 = 0 and solve for w.

 

Remember that x^2 - y^2 = (x - y)(x + y).

 

You final answer should be all real number except your values for w.

Answer 3

this is another rational function in which the denominator cannot be zero.

 

set it equal to zero.

4w² - 1 = 0

4w2 = 1

w2 = 1/4

w = + or - 1/2

 

The values for w are 1/2 and -1/2.

 

Therefore the domain is all real numbers except 1/2 and -1/2