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Find domain of1/(x-4)(x-1)

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Find domain of1/(x-4)(x-1)

  • 1 answers

Naveen Sharma 6 years, 11 months ago

Ans. {tex}f(x) = {1\over (x-4)(x-1)}{/tex}

 We need to find where the expression is undefined. These values are not part of the domain.

For the above function, if it is defined then

{tex}(x-4)(x-1) \ne 0 {/tex}

=> {tex}x-4\ne 0 \space and\space x-1\ne 0 {/tex}

{tex}x\ne 4 \space and\space x\ne 1 {/tex}

So Domain of f(x) = R - {1,4}

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