Question

EX 3 VEJA A IMAGEM POR FAVOR

Answer 1

            $f(x) = x- \frac{ \sqrt{2} }{2}$
 
            $f(-1)=-1- \frac{ \sqrt{2} }{2} = \\ \\ f(0) = 0- \frac{ \sqrt{2} }{2} =- \frac{ \sqrt{2} }{2} \\ \\ f( \sqrt{2})= \sqrt{2} - \frac{ \sqrt{2} }{2} = \frac{2 \sqrt{2} - \sqrt{2} }{2} = \frac{ \sqrt{2} }{2}$
     
            $\frac{f(-1)-f(0)}{f( \sqrt{2}) } \\ \\ = \frac{(-1- \frac{ \sqrt{2} }{2})-(- \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\ = \frac{-1- \frac{ \sqrt{2} }{2}+ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\ = \frac{1}{ \frac{ \sqrt{2} }{2} } \\ \\ = \frac{1}{ \sqrt{2} } \\ \\ = \frac{ \sqrt{2} }{2}$