Find the domain of the function :`f(x)=1/(sqrt((log)_(1/2)(x^2-7x+13)) – InterviewSolution

InterviewSolution

1.	Find the domain of the function :`f(x)=1/(sqrt((log)_(1/2)(x^2-7x+13)))`
Answer» Correct Answer - `(3,4)` `f(x)=(1)/(sqrt(log_(1//2)(x^(2)-7x+13)))` exists if `log_(1//2)(x^(2)-7x+13) gt 0` or `x^(2)-7x+13 lt 1 " (1) " ` and `x^(2)-7x+13 gt 0 " (2)" ` or `x^(2)-7x+12 lt 0 " and " (x-(7)/(2))^(2)+(3)/(4) gt 0` or `3 lt x lt 4 " and " x in R` or ` 3 lt x lt 4`

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