gloprincess gloprincess
  • 06-06-2017
  • Mathematics
contestada

If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?

Respuesta :

Edufirst
Edufirst Edufirst
  • 17-06-2017
1) f(x) = 2 - x^12


2) g(x) = x^2 - 9


3)

                   g(x)        2 - x^12
g(x)÷f(x) = -------- =  ------------
                   f(x)
          x^2 - 9


The domain of g(x)÷f(x) is all the x values where the function is defined.


 It is defined for all x where the denominator is different of zero.


So, find where x^2 - 9 = 0.



That is x = 3 and x = -3.



And the domain is all the real numbers except x = 3 and x = -3.

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