anonymous
  • anonymous
5/x-3 Find the domain of the function Please help me and explain why?
Mathematics
jamiebookeater
  • jamiebookeater
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UnkleRhaukus
  • UnkleRhaukus
The function is:\[f(x) = \frac5{x-3}\] The domain of the function, is all the values of \(x\), that will make \(f(x)\) be equal to some number
UnkleRhaukus
  • UnkleRhaukus
There is one value of \(x\), that will make this \(f(x)\) — not equal to a number
UnkleRhaukus
  • UnkleRhaukus
this is when the denominator of the fraction is equal to zero, (because we cannot divide by 0) So, to find the value of \(x\), that is not in the domain of the function: set the denominator to zero, i.e. \(x-3 = 0\), and solve for \(x\)

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UnkleRhaukus
  • UnkleRhaukus
The domain of the function will be all values of \(x\), other than this value

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