Question

domain of sqrt(x^2-3) / sqrt(4-x)

Answer 1

I found sqrt(3)<=x<4

Answer 2

How did you find that ?

Answer 3

x^2-3>=0 and 4-x>0

Answer 4

Yeah, so from the first inequality, what would you get ?

Answer 5

x greater or equal to sqrt of 3

Answer 6

yeah your answer is correct.

Answer 7

I was confused about it at first because x²>=3 means x>=sqrt(3) or x<=-sqrt(3)

Answer 8

i think its ok for x less than neg. Sqrt of 3, if you pulg it in..

Answer 9

both numerator and denominator are defined

Answer 10

Yeah that's was I thought, so the domaine would be \[]-\infty,-\sqrt{3} ] \cup [\sqrt{3},4[\]

Answer 11

ok, thanks for your help

Answer 12

Welcome !

p.s: you can see it here : https://www.desmos.com/calculator/z0lnkkgwnj