Question

Sabendo que f é uma função linear e que g ( -3 ) = 4, determine o valor de f( 6 )

Answer 1

$\Large\boxed{\begin{array}{l}\sf Toda\,func_{\!\!,}\tilde ao\,linear\,\acute e\,da\,forma\,f(x)=a\cdot x.\\\sf f(-3)=4\\\sf a\cdot(-3)=4\\\sf -3a=4\cdot(-1)\\\sf 3a=-4\\\sf a=-\dfrac{4}{3}\\\sf f(x)=-\dfrac{4}{3}x\\\\\sf f(6)=-\dfrac{4}{\diagup\!\!\!\!3}\cdot\diagup\!\!\!\!6^2\\\\\sf f(6)=-4\cdot2\\\sf f(6)=-8\end{array}}$