Question

Find the Domain of the given Function.
F(x) = log(2x-x²)​

Answer 1

Answer:

$fx \: is \: defined \: only \: when \: log(2x - {x}^{2} ) > 0$

$= (2x - {x}^{2} ) \geqslant 1$

$= (1 + {x}^{2} - 2x) \leqslant 0$

$= (1 - x) ^{2} \leqslant 0$

$since \: any \: square \: no \: can \: never \: be \: negative$

$(1 - x) = 0$

$x = 1.$