SOLUTION: What is the domain of g(x)=3x/x^2-16? I tried figuring it out and have no clue. All I got was Domain: (-infinity,4]U[4,inifnity)and my precal teacher said it was incorrect.

Algebra ->  Functions -> SOLUTION: What is the domain of g(x)=3x/x^2-16? I tried figuring it out and have no clue. All I got was Domain: (-infinity,4]U[4,inifnity)and my precal teacher said it was incorrect.       Log On


   

Question 910136: What is the domain of g(x)=3x/x^2-16? I tried figuring it out and have no clue. All I got was Domain: (-infinity,4]U[4,inifnity)and my precal teacher said it was incorrect.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve x%5E2+-+16+=+0 to get x+=+4 or x+=+-4

The values x+=+4 or x+=+-4 make the denominator zero.

Therefore, you must kick them out of the domain of all real numbers.

The domain is actually

Notice how I used parenthesis and NOT square brackets. I do NOT want to include -4 or 4 in the domain.