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Question Number 13808 by Tinkutara last updated on 23/May/17
![If f(x) defined over the domain [0, 1] then domain of function f(10^x ) is?](Q13808.png)
$$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{defined}\:\mathrm{over}\:\mathrm{the}\:\mathrm{domain}\:\left[\mathrm{0},\:\mathrm{1}\right] \\ $$$$\mathrm{then}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{function}\:{f}\left(\mathrm{10}^{{x}} \right)\:\mathrm{is}? \\ $$
Answered by ajfour last updated on 23/May/17
$${then}\:{x}\leqslant\mathrm{0}\: \\ $$$$\mathrm{0}\leqslant\mathrm{10}^{{x}} \leqslant\mathrm{1} \\ $$$${taking}\:{logarithm} \\ $$$${this}\:{implies}, \\ $$$$−\infty<{x}\leqslant\mathrm{0} \\ $$$$ \\ $$
Commented by Tinkutara last updated on 23/May/17
$$\mathrm{OK}.\:\mathrm{Thanks}! \\ $$