For each function determine its domain and range:
1) f(x) = sqrt of x-4
2) srt of x^2-4
3) sqrt of 4-x^2
4) sqrt of x^2+44

Question

anonymous · Answer

Sorry 2) shud say g(x) =...;   3) h(x)=... ;  4) ) k(x)=...

anonymous · Answer

Square root can't be negative! Just figure out which numbers make those negative and it can't be! I'll do 1 for you.

x-4 has to be greater than or equal to 0
$$x - 4 \ge 0$$
$$x \ge 4 $$ is the domain

the range (y values) can never be negative (we just said that!) so $$y \ge 0 $$

anonymous · Answer

$$f(x) = \sqrt{x-4}$$.....this is how number 1 looks

anonymous · Answer

i see... so the domains and ranges are teh numbers wil make teh sqaure root positive

anonymous · Answer

is that correct? and then i just write an inequality for that?

anonymous · Answer

thank you very much

anonymous · Answer

@chaise...are you there?