Question

MEDAL REWARDED
Find the domain of the given function.

Answer 1

@John_ES

Answer 2

Two points are out, -7 and +9, because in these points the denominator is 0. Now we have to drop the points that cannot be put into the radical function of the numerator.
\[x+6=0\Rightarrow x=-6\]So if x<-6, the argument of the radical function is negative, and the function has no value. Then,
\[D=(-6,9)\cup(9,+\infty)\]

Answer 3

All real numbers

x ≥ -6, x ≠ 9

x ≠ -7, x ≠ -6, x ≠ 9

x > 0

Answer 4

The second one right?

Answer 5

The first.

Answer 6

Observe what it means: numbers greater that -6 but without including the 9. The same answer I gave you.