Question

Seja f uma função do primeiro grau tal que f(2) = 7 e f(5) = 13. Calcule o valor f(0).​

Answer 1

Resposta:

Explicação passo a passo:

$f(x)=ax+b\\\\\left\{\begin{matrix}2a +b=7\ (-1)\\ 5a+b=13\end{matrix}\right.\\\left\{\begin{matrix}-2a -b=-7\\ 5a+b=13\end{matrix}\right.\\3a=7\\a=7/3\\\\2a+b=7\\2*\frac{7}{3} +b=7\\b=7-\frac{14}{3}\\b=\frac{21}{3}-\frac{14}{3}\\b=7/3\\\\\\f(x)=\frac{7x+7}{3}\\\\f(0)=\frac{7*0+7}{3}\\\\f(0)=\frac{7}{3}$