Após substituirmos os valores concluímos que o valor de [tex]F(0)+F(-1)+F \left(\dfrac{1}{2} \right)[/tex] é
[tex]\Large\text{$ \boxed{\boxed{-4{,}75}}$}[/tex]
- Mas, como chegamos nessa resposta?
Temos a seguinte função
[tex]F(x)=2x^3-1[/tex]
Queremos saber qual é o valor de [tex]F(0)+F(-1)+F \left(\dfrac{1}{2} \right)[/tex]
Para isso precisamos achar o valor de F(0) F(-1) e F(1/2)
Basta substituir
F(0)
[tex]F(0)\\\\F(x)=2x^3-1\\\\F(0)=2\cdot0^3-1\\\\\boxed{F(0)=-1}[/tex]
F(-1)
[tex]F(-1)\\\\F(x)=2x^3-1\\\\F(-1)=2\cdot(-1)^3-1\\\\F(-1)=2\cdot -1-1\\\\F(-1)=-2-1\\\\\boxed{F(-1)=-3}[/tex]
[tex]F \left(\dfrac{1}{2} \right)[/tex]
[tex]F \left(\dfrac{1}{2} \right)\\\\\\F \left(\dfrac{1}{2} \right)=2\cdot \left(\dfrac{1}{2} \right)^3-1\\\\\\F \left(\dfrac{1}{2} \right)=2\cdot \left(\dfrac{1}{8} \right)-1\\\\\\F \left(\dfrac{1}{2} \right)=\left(\dfrac{2}{8} \right)-1\\\\\\F \left(\dfrac{1}{2} \right)=\left(\dfrac{1}{4} \right)-1\\\\\\F \left(\dfrac{1}{2} \right)=\left(\dfrac{1}{4} \right)-\dfrac{4}{4} \\\\\\F \left(\dfrac{1}{2} \right)=\left(\dfrac{-3}{4} \right)\\\\\\\boxed{F \left(\dfrac{1}{2} \right)=-0{,}75}[/tex]
Assim concluímos que
[tex]\boxed{F(0)=-1}\\\\\boxed{F(-1)=-3}\\\\\boxed{F(1/2)=-0{,}75}[/tex]
Basta somarmos tudo e teremos nossa resposta
[tex]F(0)+F(-1)+F \left(\dfrac{1}{2} \right)\\\\\\(-1)+(-3)+(-0{,}75)\\\\\\-1-3-0{,}75\\\\\\\boxed{-4{,}75}[/tex]
Aprenda mais sobre função aqui no Brianly :
https://brainly.com.br/tarefa/5136025
