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Find the domain of the function f(x)=(x^...

Find the domain of the function `f(x)=(x^2-6x+5)/(x^2-5x+6)`.

Text Solution

Verified by Experts

The correct Answer is:
`A to p; B to q; C to q; D to p`

Given, `f(x)=((x-1)(x-5))/((x-2)(x-3))`
The graph of f(x) is shown as:

A. If `-1 lt x lt 1 rArr 0 lt f(x) lt 1`
B. If `1 lt x lt 2 rArr f(x) lt 0`
C. `If 3 lt x lt 5 rArr f(x) lt 0`
D. If ` x gt 5 rArr 0 lt f(x) lt 1`
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