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Find the domain of the function : f(x)=s...

Find the domain of the function : `f(x)=sqrt(4^x+8^((2/3)(2x-2))-13-2^(2(x-1)))`

Text Solution

Verified by Experts

The correct Answer is:
`[2,oo)`
`4^(x)=8^((2)/(3)(x-2))-13-2^(2(x-1)) ge 0`
or `4^(x)+(4^(x))/(16)-(4^(x))/(4) ge 13`
or `4^(x) ge 4^(2)" or " x in [2,oo)`
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Knowledge Check

  • The domain of the function f(x)=4-sqrt(x^(2)-9) is

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