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


Răspuns :

[tex]f: \left \{ 1,4,16,25, \frac{9}{49}, \frac{36}{25} \left\}-\ \textgreater \ A,f(x)= \sqrt{x}

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[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] [tex]Imf=A= \left \{1,2,4,5, \frac{3}{7} , \frac{6}{5} \left\} \right. [/tex]