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

Answer

`[2,oo)`

Explanation

`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)`