A function f:R−{β}→R, where β=3±√9+8α8, is defined by f(x)=� – InterviewSolution

1.	A function f:R−{β}→R, where β=3±√9+8α8, is defined by f(x)=αx2+6x−8α+6x−8x2. Then the possible value(s) of α for which f is onto.
Answer» A function $f : R - {β} \to R,$ where $β = \frac{3 \pm \sqrt{9 + 8 α}}{8},$ is defined by $f (x) = \frac{α x^{2} + 6 x - 8}{α + 6 x - 8 x^{2}}$ . Then the possible value(s) of $α$ for which $f$ is onto.

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