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anonymous

  • one year ago

5/x-3 Find the domain of the function Please help me and explain why?

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  1. UnkleRhaukus
    • one year ago
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    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

  2. UnkleRhaukus
    • one year ago
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    There is one value of \(x\), that will make this \(f(x)\) — not equal to a number

  3. UnkleRhaukus
    • one year ago
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    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 \(x\)

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

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