Question

Can someone help me find the domain for f(x) = x / sqrt(x-3) ?

Answer 1

Well, can you take square root of negative numbers?

Answer 2

x=3

Answer 3

and no you cant

Answer 4

You didn't answer my question. Are you allowed to take square root of negative numbers?

Answer 5

Right. Are you allowed to divide by zero?

Answer 6

No

Answer 7

You've got 2 problems here:

1. sqrt(x-3) may not be 0, because you can't divide by 0.
2. x-3 >= 0 otherwise, you can't take the sqrt...

Answer 8

ok, so then all you have to do is solve the inequality x-3 > 0

Answer 9

\[{x-3}> 0 \quad \therefore x>3 \]

Answer 10

thanks