Question

determine domain of function f(x)=sqrt of 5-x

Answer 1

I came up w/ (5,-infinity)

Answer 2

almost correct !

Answer 3

backwards??

Answer 4

domain smallest to largest?

Answer 5

kindof yes..

the thing inside sqrt must >= 0

so,

5-x >= 0
5 >= x
x <= 5

domain : x<=5

which is same as,

(-inf, 5]

Answer 6

oh when i moved the X i was supposed to flip the sign

Answer 7

you have it right the first time, only thing is you need to include 5 also in the domain.

Answer 8

[ ] <---- includes boundary
( ) <---- doesnt include boundary

Answer 9

(-inf, 5) <----- WRONG
(-inf, 5] <----- CORRECT