Odpowiedź:
[tex]g(x)=log_2(-x^2+2x)\\-x^{2} +2x > 0/:(-1)\\x^{2} -2x < 0\\x(x-2) < 0\\x\in(0,2)\\\underline{D=(0,2)}\\log_2(-x^{2} +2x)=0\\-x^{2} +2x=2^0\\-x^{2} +2x-1=0/\cdot(-1)\\x^{2} -2x+1=0\\(x-1)^2=0\\\underline{x_0=1}[/tex]
Miejsca zerowe x=1 , D=(0,2)
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Odpowiedź:
[tex]g(x)=log_2(-x^2+2x)\\-x^{2} +2x > 0/:(-1)\\x^{2} -2x < 0\\x(x-2) < 0\\x\in(0,2)\\\underline{D=(0,2)}\\log_2(-x^{2} +2x)=0\\-x^{2} +2x=2^0\\-x^{2} +2x-1=0/\cdot(-1)\\x^{2} -2x+1=0\\(x-1)^2=0\\\underline{x_0=1}[/tex]
Miejsca zerowe x=1 , D=(0,2)