Question

Find the domain,

Answer 1

Would it be - infinity 6?

Answer 2

okay for square roots you have a limiting situation. You cannot take a square root of a negative number. So when this equation equals a number below zero, it will not work. Therefore your domain would equal \[[6, \infty)\] because at x=6 it would be the square root of zero which is zero, however at anything lower it would be the square root of a negative number which cannot exist.

Answer 3

Wouldnt the infinity be negative though?

Answer 4

no, the infinity must be positive. Negative infinity means every number less than zero, your equation cannot have anything less than 6, and since negative infinity includes -7, -8, -9, etc it cannot be the answer.

Answer 5

I don't have a just 6 & positive infinity answer, thats why its throwing me off

Answer 6

hmmmmm, can you take a picture or type the rest of the answers?

Answer 7

Solve the inequality that represents the problem. You want all values of x that make the radicand non-negative.
6 - x >= 0
-x >= -6
x <= 6

Answer 8

oh, I'm retarded, if its a NEGATIVE number the value is valid, if x = 7 for example, then the equation becomes wrong, you were right it is (negative inf, 6] sorry!

Answer 9

(-infinity, 6]

Answer 10

Haha, no problem.
It happens. :P
But thanks anyways.!