Question

dentify the domain and inverse of the given function.
pictured inserted giving medals

Answer 1

any idea

Answer 2

well, what can you say for a number which is under square root?
that number has to be positive
do you agree?

Answer 3

yes

Answer 4

so, x+6 should be positive quantity for it to be defined.
agree?

Answer 5

yes

Answer 6

so, x+6>0
that is what a positive number means.
it t is a positive number, then t>0.
hence x+6>0
then, x>-6.

Answer 7

alright so whats the answer

Answer 8

what wrong if x+6=0?
nothing wrong in that.
if x+6=0, then \[\sqrt{x+6}=\sqrt{0}=0\]
meaning, x+6 can also be equal to zero.
thus, the domain of x is
\[x \ge6\]