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

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Naveen Sharma 8 years, 7 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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