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Range-: f(x)=x^2-5x+6/x^2-4​

Answer»

THAT'S HOW TO SIMPLIFY IT

f(x) = \frac{(x { }^{2} - 5x + 6) }{(x {}^{2} - 4) } \\ \\ now \: using \: \\ a {}^{2} - b {}^{2} = (a + b)(a - b) \\ and \: middle \: term \: splitting \\ \\ f(x) = \frac{(x - 3)(x - 2)}{(x + 2)(x - 2) } \\ \\ cancel \: (x - 2)........... \\ we \: get \: \\ f(x) = \frac{(x - 3)}{(x + 2)} \\

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