Question

What is the domain of k(x)=sqrt(x+4?

A. all real numbers greater than or equal to 4.
B. all real numbers greater than 0.
C. all real numbers.
D. all real numbers greater than or equal to 0.

Answer 1

The quantity inside square root must be non-negative to get a real domain

Answer 2

so solve for x in
\(\Large x+4 \ge 0\)

Answer 3

The domain are the possible values you can pick for X and get a Y value that makes sense

Answer 4

real

Answer 5

Domain: [−4,∞),{x|x≥−4}
Range: [0,∞),{y|y≥0}

Answer 6

yup thats correct

Answer 7

so its a

Answer 8

fancy, set , notation

Answer 9

your option A should have a -4 instead of 4 there.

Answer 10

yes the domain includes all the values possible for X that map to a value for Y

Answer 11

Thanks you guys.

Answer 12

y = root(x)

Answer 13

no values are to left of y=0, welcome

Answer 14

x=0, sorry