Hey MHF: Ive just got a question on the implied domain.

f(x)= Square root(x^2 - 3)

easy question i just need an somebody to clarify how to solve it.

Cheers

Andrew

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- Feb 9th 2008, 09:10 PMRoboStarimplied domain
Hey MHF: Ive just got a question on the implied domain.

f(x)= Square root(x^2 - 3)

easy question i just need an somebody to clarify how to solve it.

Cheers

Andrew - Feb 9th 2008, 09:16 PMJhevon
- Feb 9th 2008, 09:33 PMRoboStar
and another question

h(x) = square root(x - 4) + square root(11 - x) - Feb 9th 2008, 09:40 PMJhevon
- Feb 10th 2008, 01:27 AMRoboStar
thanks for all your help just two more questions on implied domain

f (x) = x^2 - 1 / x + 1 and h (x) = square root(x-1/x+2) - Feb 10th 2008, 07:40 AMJhevon
okay, for rational functions, we have the condition that we cannot divide by zero. and you know the condition for square roots. so there are three conditions you want to fulfill here

for f(x): you want $\displaystyle x + 1 \ne 0$

for h(x): you want $\displaystyle \frac {x - 1}{x + 2} \ge 0$ (for the square root) and $\displaystyle x + 2 \ne 0$ (for the rational function being square rooted)

of course, for h(x), both conditions must be fulfilled at the same time. so find the x's that work for both simultaneously