Find the domain for the following: (warning- the domain for the UNSIMPLIFIED expression.) (9x^(2) + 4y^(2) -12xy ) / ( 4y^(2) - 9x^(2) )

Question

Find the domain for the following:

(warning- the domain for the UNSIMPLIFIED expression.)

`(9x^(2) + 4y^(2) -12xy ) / ( 4y^(2) - 9x^(2) )`

Answer 1

Answer: D:xE(∞,∞)

Explanation:

set the denominator of the equation equal to 0

0=4y^2-9x^2

solve for x

x=2y/3

x=-2y/3

The domain is all real numbers.

D:xE(∞,∞)