si:f(a)=a+2/a-2 . Halle f(f(a))

Respuestas

Respuesta dada por: otrouso098
3

f(a) =  \frac{a + 2}{a - 2}  \\  \\ f(f(a) ) =  \frac{ \frac{a + 2}{a - 2} + 2}{ \frac{a + 2}{a - 2} - 2} \\\\ f(f(a) ) = \frac{ \frac{a + 2 + 2(a - 2)}{a - 2} }{ \frac{a + 2 - 2(a - 2)}{a - 2} }  \\\\ f(f(a) ) = \frac{ \frac{a +2  + 2a  -  4}{a - 2} }{ \frac{a + 2 - 2a + 4}{a - 2} }  \\\\ f(f(a) ) = \frac{ \frac{3a  -  2}{a - 2} }{ \frac{ - a  + 6}{a - 2} }  \\\\f(f(a) ) = \frac{3a   - 2(a - 2) }{   -a + 6(a - 2)}   \\\\ f(f(a) ) = \frac{3a  - 2}{ - a + 6}

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