The-domain-of-f-x-4-3-4-x-27-64-x-5-is-

Question Number 13812 by Tinkutara last updated on 23/May/17

The domain of f (x) =

\sqrt{{(\frac{4}{3})}^{4 - x} - {(\frac{27}{64})}^{x - 5}}; is ?

Answered by ajfour last updated on 23/May/17

{(\frac{4}{3})}^{4 - x} ⩾ {(\frac{4}{3})}^{15 - 3 x}

\Rightarrow 4 - x ⩾ 15 - 3 x

o r, x ⩾ \frac{11}{2} .

Commented by Tinkutara last updated on 23/May/17

Thanks!