Question

Seja a função f (x)=2x-1,calcule. f (1/3)+2f (4/5)

Answer 1

Olá, tudo bem?

$\text{Para}\,\,f(x)=2x-1:\\\\f\left(\dfrac{1}{3}\right)=2.\dfrac{1}{3}-1\rightarrow f\left(\dfrac{1}{3}\right)=-\dfrac{1}{3}\\\\f\left(\dfrac{4}{5}\right)=2.\dfrac{4}{5}-1\rightarrow f\left(\dfrac{4}{5}\right)=\dfrac{3}{5}$

$\text{Portanto:}\\\\f\left(\dfrac{1}{3}\right)+2f\left(\dfrac{4}{5}\right) = -\dfrac{1}{3}+2.\dfrac{3}{5}= -\dfrac{1}{3}+\dfrac{6}{5}=\boxed{\dfrac{13}{15}}\,\,\text{(resposta final)}$

Muito Obrigado pela confiança em nosso trabalho!! :-)