Question

ALGUÉM ME AJUDA NA 4? IMAGEM ABAIXO, OBRIGADO.

Answer 1

Resposta:

Explicação passo-a-passo:

a) Temos f(-8)=-4, então vamos substituir na equação

$f(x)=-\dfrac{3}{4}x+m\\ \\-4=-\dfrac{3}{4}(-8)+m\\\\invertendo\\\\-\dfrac{3}{4}(-8)+m=-4\\\\\dfrac{24}{4}+m=-4\\\\6+m=-4\\\\m=-4-6\\\\m=-10$

b) f(-1)

$f(x)=-\dfrac{3}{4}x-10\\ \\f(1)=-\dfrac{3}{4}.1-10\\\\f(1)=-\dfrac{3}{4}-10\\\\f(1)=\dfrac{-3-40}{4}\\\\f(1)=-\dfrac{43}{4}$

c) f(x)=-12

$-\dfrac{3}{4}x-10=-12\\\\-\dfrac{3}{4}x=-12+10\\\\-\dfrac{3}{4}x=-2\\\\\dfrac{3}{4}x=2\\\\x=\dfrac{4.2}{3}\\\\x=\dfrac{8}{3}$