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Properties of Inverse Function

If the functi...

Question

If the function $f : R \to R$ is defined by $f (x) = x^{2} + 5 x + 9,$ find $f^{- 1} (8) .$

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Solution

$x^{2} + 5 x + 9 = 8 x^{2} + 5 x + 1 = 0 x = (\frac{- 5 \pm \sqrt{25 - 4}}{2}) a s t h e r e a r e t w o d i f f e r e n t v a l u e s o f x, i t s u g g e s t s f o r g i v e n f (x), f^{- 1} x d o e s n^{'} t e x i s t i n t h e g i v e n s e t o f d o m a i n$
Hence no solution

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