anonymous
  • anonymous
Question on about functions: How do I solve? If f(x)=3/x and g(x)=2/x-1, determine domain of (f/g)(x).
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
If you solve for the expression (f/g)(x), You should get: (3x-3)/2x. Your domain would be where the denominator is not equal to zero. Therefore solve the equation: 2x = 0 x = 0. So the domain is all values of x such that x is not equal to zero. Which could be written as: (negative infinity, 0) U (0 , positive infinity).
anonymous
  • anonymous
thank you for your reply! how did you get the (3x-3)/2x? did you multiply both fractions by something?
anonymous
  • anonymous
No... Divide f(x) by g(x)... (3/x)/(2/(x-1)) Or similarly, multiply f(x) by the reciprocal of g(x) (3/x)*((x-1)/2)

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anonymous
  • anonymous
thank you again for your help, i really appreciate it!
anonymous
  • anonymous
Aite cool

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