Question

Por favor, como resolve essa função? Tem que dar 17/4

Answer 1

$f( \frac{1}{4} ) = \frac{1 + {( \frac{1}{4}) }^{2} }{ \frac{1}{4} }$

$f( \frac{1}{4} ) = \frac{1 + ( \frac{ {1}^{2} }{ {4}^{2} }) }{ \frac{1}{4} } \\ f( \frac{1}{4} ) = \frac{1 + ( \frac{1}{16} )}{ \frac{1}{4} } \\ f( \frac{1}{4} ) = \frac{ \frac{17}{16} }{ \frac{1}{4} } \\ f( \frac{1}{4} ) = \frac{17}{16} \div \frac{1}{4} \\ f( \frac{1}{4} ) = \frac{17}{16} \times \frac{4}{1} \\ f( \frac{1}{4} ) = \frac{17 \times 4}{16 \times 1} \\ f( \frac{1}{4} ) = \frac{68}{16} = \frac{17}{4}$