Dadas g(x)=1/x-2 e h(x)=x²/x+1 Calcule g(x) + h(x)
Sei que o resultado é x²(minha professora enviou o gabarito, porém não sei chegar a essa resposta...
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Boa noite Lucas!
Solução!
![g(x)= \dfrac{1}{x-2}\\\\\\
h(x)= \dfrac{ x^{2}}{x+1}\\\\\\
g(x)+h(x)\\\\\\\\
\dfrac{1}{x-2}+ \dfrac{ x^{2}}{x+1} \\\\\\\
Como~~tem ~~duas~~ frac\~oes~~pode~~multiplicar~~ cruzado~e~~conservar~~o~~ denominador!\\\\\\
\dfrac{(x-2).( x^{2} )+1(x+1)}{(x-2).(x+1)} \\\\\\
\dfrac{x^{3}-2 x^{2} +x+1 }{(x-2).(x+1)}](https://tex.z-dn.net/?f=g%28x%29%3D+%5Cdfrac%7B1%7D%7Bx-2%7D%5C%5C%5C%5C%5C%5C%0Ah%28x%29%3D+%5Cdfrac%7B+x%5E%7B2%7D%7D%7Bx%2B1%7D%5C%5C%5C%5C%5C%5C%0Ag%28x%29%2Bh%28x%29%5C%5C%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B1%7D%7Bx-2%7D%2B+%5Cdfrac%7B+x%5E%7B2%7D%7D%7Bx%2B1%7D+%5C%5C%5C%5C%5C%5C%5C%0AComo%7E%7Etem+%7E%7Eduas%7E%7E+frac%5C%7Eoes%7E%7Epode%7E%7Emultiplicar%7E%7E+cruzado%7Ee%7E%7Econservar%7E%7Eo%7E%7E+denominador%21%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B%28x-2%29.%28+x%5E%7B2%7D+%29%2B1%28x%2B1%29%7D%7B%28x-2%29.%28x%2B1%29%7D+%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7Bx%5E%7B3%7D-2+x%5E%7B2%7D+%2Bx%2B1+%7D%7B%28x-2%29.%28x%2B1%29%7D+%0A+ "g(x)= \dfrac{1}{x-2}\\\\\\
h(x)= \dfrac{ x^{2}}{x+1}\\\\\\
g(x)+h(x)\\\\\\\\
\dfrac{1}{x-2}+ \dfrac{ x^{2}}{x+1} \\\\\\\
Como~~tem ~~duas~~ frac\~oes~~pode~~multiplicar~~ cruzado~e~~conservar~~o~~ denominador!\\\\\\
\dfrac{(x-2).( x^{2} )+1(x+1)}{(x-2).(x+1)} \\\\\\
\dfrac{x^{3}-2 x^{2} +x+1 }{(x-2).(x+1)}")
Boa noite!
Bons estudos!
Solução!
Boa noite!
Bons estudos!
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