Question

Determine the domain of the function.

f as a function of x is equal to the square root of seven plus x.

Answer 1

Answer Choices:
x ≥ 0
All real numbers
x ≥ -7
x > 0

Answer 2

so now we have \[f(x)=\sqrt{7+x}\]

Answer 3

Yes

Answer 4

ok let me ask you this
can we allow negative values under square root?

Answer 5

No, the negative symbol has to be outside of the square root

Answer 6

ok with that said
can we say that x+7 must be 0 or greater for the function to be defined

Answer 7

Yes

Answer 8

this is the same thing as sayin'
\[x+7\ge0\]

Answer 9

so we just need to solve this inequality

Answer 10

subtract 7 from both side what do we get?

Answer 11

x > -7

Answer 12

yes but don't forget or equal

Answer 13

Yes, thank you so much!

Answer 14

no problem