Graph the function g(x)=-3/(x^2-4) . What is the domain of g(x)? Explain your reasoning. Do not completely trust calculator or computer graphs of this function.

Question

anonymous · Answer

Please help me! :(

campbell_st · Answer

well you need to factorise the denominator

$$g(x) = \frac{-3}{(x -2)(x +2)}$$

you can't have zero in the denominator 

so there are vertical asymptotes at x = -2 and x = 2

so the domain is all real x except the values that give a zero denominator... 

so you would say... all real x except x = -2 and x = 2

the curve is a bit like

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