Question

Sendo f (x + 1) = 4x - 3, calcule f(x)​

Answer 1

$\large\boxed{\begin{array}{l}\sf f(x+1)=4x-3\\\sf vamos\,calcular\,a\,imagem\,de\,x-1\,atrav\acute es\\\sf da\,lei\,f(x+1)=4x-3:\\\sf f(x-\backslash\!\!\!1+\backslash\!\!\!1)=4\cdot(x-1)-3\\\sf f(x)=4x-4-3\\\sf f(x)=4x-7\longrightarrow resposta\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm Demonstrac_{\!\!,}\tilde ao\,da\,resposta}\\\sf Aqui\,o\,valor\,da\,func_{\!\!,}\tilde ao\,em\,x+1\\\sf dever\acute a\,resultar\,em\,4x-3.\\\sf Com\,efeito, f(x)=4x-7\\\sf trocando\,x\,por\,x+1\,temos:\\\sf f(x+1)=4\cdot( x+1)-7\\\sf f(x+1)=4x+4-7\\\sf f(x+1)=4x-3\,como\,quer\acute iamos\,demonstrar\,\blacksquare\end{array}}$