1) Considere a função f(x)=5+3/x+2 , com D= { X E R / X ≠ -2} Determine:
a)f(-5).
b) O elemento do dominio cuja imagem é igual a -1.
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Boa tarde Brigs!
Solução!
![f(x)= \dfrac{5+3}{x+2}\\\\\\\
f(-5)= \dfrac{5+3}{-5+2}\\\\\\\
f(-5)= \dfrac{8}{-3}\\\\\\\
\boxed{Resposta~~f(-5)= -\dfrac{8}{3}}](https://tex.z-dn.net/?f=f%28x%29%3D+%5Cdfrac%7B5%2B3%7D%7Bx%2B2%7D%5C%5C%5C%5C%5C%5C%5C%0Af%28-5%29%3D+%5Cdfrac%7B5%2B3%7D%7B-5%2B2%7D%5C%5C%5C%5C%5C%5C%5C%0Af%28-5%29%3D+%5Cdfrac%7B8%7D%7B-3%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%7E%7Ef%28-5%29%3D+-%5Cdfrac%7B8%7D%7B3%7D%7D "f(x)= \dfrac{5+3}{x+2}\\\\\\\
f(-5)= \dfrac{5+3}{-5+2}\\\\\\\
f(-5)= \dfrac{8}{-3}\\\\\\\
\boxed{Resposta~~f(-5)= -\dfrac{8}{3}}")
![f(x)=1\\\\\\
f(x)= \dfrac{5+3}{x+2}\\\\\\\
1= \dfrac{5+3}{x+2}\\\\\\\
1(x+2)=5+3\\\\\\
x+2=8\\\\\\
x=8-2\\\\\\
\boxed{x=6 }\\\\\\\\
Elemento~~do~~dominio~~correspondente~~a~~imagem~~x=6](https://tex.z-dn.net/?f=f%28x%29%3D1%5C%5C%5C%5C%5C%5C%0A%0Af%28x%29%3D+%5Cdfrac%7B5%2B3%7D%7Bx%2B2%7D%5C%5C%5C%5C%5C%5C%5C%0A1%3D+%5Cdfrac%7B5%2B3%7D%7Bx%2B2%7D%5C%5C%5C%5C%5C%5C%5C%0A1%28x%2B2%29%3D5%2B3%5C%5C%5C%5C%5C%5C%0Ax%2B2%3D8%5C%5C%5C%5C%5C%5C%0Ax%3D8-2%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bx%3D6+%7D%5C%5C%5C%5C%5C%5C%5C%5C%0AElemento%7E%7Edo%7E%7Edominio%7E%7Ecorrespondente%7E%7Ea%7E%7Eimagem%7E%7Ex%3D6 "f(x)=1\\\\\\
f(x)= \dfrac{5+3}{x+2}\\\\\\\
1= \dfrac{5+3}{x+2}\\\\\\\
1(x+2)=5+3\\\\\\
x+2=8\\\\\\
x=8-2\\\\\\
\boxed{x=6 }\\\\\\\\
Elemento~~do~~dominio~~correspondente~~a~~imagem~~x=6")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
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