Question

Dadas as funções f(x)= 2x-4/x-1 e g(x)= 5x/5x+2 calcule f(g(6))

Answer 1

Resposta:

-30

Explicação passo a passo:

$f(x) = \frac{2x-4}{x-1}\\\\g(x)= \frac{5x}{5x+2} \\\\f(g(6))= ?\\\\g(6)=\frac{5.6}{5.6+2}\\\\g(6)=\frac{30}{32}\\\\g(6)=\frac{15}{16}\\\\f(g(6))=\(f(\frac{15}{16})=\frac{2*\frac{15}{16} }{\frac{15}{16}-1 }=\frac{\frac{15}{8} }{-\frac{1}{16} } =\frac{15}{8}*(-16)=15.(-2)=-30$