Question

dada a função do primeiro grau F(x)=-3x+2. determine os valores de x para que se tenha
a) F(x)= 0
b) F(x)= 11
c) F(x)= -1/2
Assinale a alternativa com a resposta correta:

a) 2/3, -3, 5/6
b) 3/2, 3, 1
c) 2/3, 3, -5/6
d) 3/2, -3, 1 ​

Answer 1

$f(x) = -3x + 2$

$-3x + 2 = 0\\-3x = -2\\3x = 2\\x = \frac{2}{3}$

$-3x + 2 = 11\\-3x = 11 - 2\\-3x = 9\\3x = -9\\x=-\frac{9}{3} \\x=-3$

$-3x + 2 = -\frac{1}{2}\\ -3x = -\frac{1}{2} - 2\\3x = \frac{1}{2} + 2\\3x = \frac{1 + 4}{2}\\3x = \frac{5}{2}\\x = \frac{\frac{5}{2}}{3} \\x = \frac{5}{2} * \frac{1}{3} \\x = \frac{5}{6}$

$S = (\frac{2}{3}, -3, \frac{5}{6} )$