Respostas

  • Usuário do Brainly
2014-08-31T14:05:34-03:00
f(x)=8x+6

g(x)=4x

Assim, f[g(x)]=f(4x)=8\cdot4x+6=32x+6.

Se f[g(x)]=-10, devemos ter:

32x+6=-10~~\Rightarrow~~32x=-16~~\Rightarrow~~x=\dfrac{-16}{32}

\boxed{x=\dfrac{-1}{2}}.

De fato, pois:

g(\frac{-1}{2})=4\cdot\dfrac{(-1)}{2}=\dfrac{-4}{2}=-2

E f(-2)=8\cdot(-2)+6=-16+6=-10
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