Question

dada funcao afim f(x) -2x +3, determine f(f(1sobre3))

Answer 1

primeiro vamos determinar o valor de f(1/3):


f(1/3) = -2*(1/3) +3
f(1/3) = -2/3 +3
fazendo o mmc:
f(1/3) = -2/3 + 9/3
f(1/3) = 7/3

próximo passo:

f(f(1/3))= f(7/3)

f(7/3) = -2*(7/3) +3
f(7/3) = -14/3 + 9/3
f(7/3) = -5/3

logo a f(f(1sobre3)) = -5/3

Answer 2

$f(x)=-2x+3$
$f(\frac13)=-\frac23+3=\frac73$
$f(f(\frac13))=f(\frac73)=-\frac{14}{3}+3=\boxed{-\frac53}$