Find each of the following functions and state their domains.

F(x) = (x-5)^.5

and

G(x) = (x^2 -4)^.5

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- Aug 24th 2011, 05:13 PMTenaciousEFind the following functions and their domains
Find each of the following functions and state their domains.

F(x) = (x-5)^.5

and

G(x) = (x^2 -4)^.5 - Aug 24th 2011, 05:19 PMskeeterRe: Find the following functions and their domains
- Aug 24th 2011, 05:21 PMHallsofIvyRe: Find the following functions and their domains
What do you mean by "find the functions"? They are pretty much right there aren't they?

As for the domains, both of those are square roots. Which numbers can you take the square root of which can you not? I assume we are talking about real numbers. - Aug 24th 2011, 06:23 PMTenaciousERe: Find the following functions and their domains
Oops I left out the last part of the question xD

Find the functions for:

f + g,

f - g,

fg, and

f/g

And we have to find the domains of the new functions that we are finding - Aug 24th 2011, 07:08 PMskeeterRe: Find the following functions and their domains
- Aug 24th 2011, 07:46 PMTenaciousERe: Find the following functions and their domains
I know how to find the domains of the individual functions. I don't know how to combine the radicals and find the domain of that resulting function.

To answer your question, the domain for f is x is less than or equal to 5 because any value for x greater than 5 would put a negative under the radical. For the same reason, the domain for g would be x is all real numbers excluding 2 and -2 - Aug 24th 2011, 07:55 PMskeeterRe: Find the following functions and their domains
- Aug 24th 2011, 08:43 PMTenaciousERe: Find the following functions and their domains
that would be from (-inf, -2] U [2, inf), correct?

- Aug 25th 2011, 03:59 AMskeeterRe: Find the following functions and their domains