Question

f:{1,4,16,25,9/49,36/25}-> A, f(x)=
$\sqrt{x} .$
Determinați mulțimea Im f a valorilor funcției f

Answer 1

$f: \left \{ 1,4,16,25, \frac{9}{49}, \frac{36}{25} \left\}-\ \textgreater \ A,f(x)= \sqrt{x}$
[tex]Aflam~multimea~A:\\ f(1)= \sqrt{1} =\ \textgreater \ 1\\ f(4)= \sqrt{4} =\ \textgreater \ 2\\ f(16)= \sqrt{16} =\ \textgreater \ 4\\ f(25)= \sqrt{25} =\ \textgreater \ 5\\\\ f( \frac{9}{49} )= \sqrt{ \frac{9}{49} } =\ \textgreater \ \frac{3}{7} \\\\ f( \frac{36}{25} )= \sqrt{ \frac{36}{25} } =\ \textgreater \ \frac{6}{5}[/tex] $Imf=A= \left \{1,2,4,5, \frac{3}{7} , \frac{6}{5} \left\} \right.$