Question

What is the domain of y=3/(x-2)^2 -4?

Answer 1

Given:

`y=(3)/((x-2)^2)-4`

Required:

To find the domain of the given function.

Step-by-step explanation:

Consider

`y=(3)/((x-2)^)-4`

Here when x =2, the y value becomes infinet.

Therefore the domain of the function is set of all real numbers, except 2.

`D=\lbrace x\in R:x\\e2\rbrace`

In interval notation :

`(-\infty,2)\cup(2,\infty)`

Final Answer:

The domain is

`D=\lbrace x\in R:x\\e2\rbrace`