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Find the domain of the function f(x)=(1)...

Find the domain of the function `f(x)=(1)/(8{x}^(2)-6{x}+1).`

Text Solution

Verified by Experts

The correct Answer is:
`R-{x:x=n+1//4,n+1//2,n in Z}`
We have `f(x)=(1)/(8{x}^(2)-6{x}+1)`
Clearly `f(x)` is not defined if `8{x}^(2)-6{x}+1=0`
`implies (4{x}-1)(2{x}-1)=0`
`implies {x}=1//4 " or " 1//2`
`implies x=n+1//4 " or " x=n+1//2, " where " n in Z`
Hence domain of function is
`R-{x:x=n+1//4,n+1//2,n in Z}`
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