Question

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

Answer 1

Given:

$y=\frac{3}{(x-2)^2}-4$

Required:

To find the domain of the given function.

Explanation:

Consider

$y=\frac{3}{(x-2)^}-4$

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

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

$D=\lbrace x\in R:x\ne2\rbrace$

In interval notation :

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

Final Answer:

The domain is

$D=\lbrace x\in R:x\ne2\rbrace$