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Find Domain of the following function : ...

Find Domain of the following function :
`f(x)=log_(x-4)(x^2-11x+24)`

Text Solution

Verified by Experts

`x-4 gt 0` and `x-4 ne 1 implies x gt 4`, `x ne 5`
and `x^2-11x+24 gt 0 implies (x-3)(x-8) gt 0`
`implies in (-infty, 3) cup (8, infty)`
Hence domain= `(8, infty)`
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. Find Domain of the following function : f(x)=sin^(-1)(log2(x^2/2))

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  3. Find Domain of the following function : f(x)=log(x-4)(x^2-11x+24)

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