First slide

Functions (XII)

Question

$The domain of definition of the function, f (x) = \cos^{- 1} [\frac{3 x^{2} - 7 x + 8}{x^{2} + 1}] where [.] denotes the greatest$ $integer function, is (a, b) . Then a + b =$

Difficult

Solution

The given function is defined if
$- 1 \leq \frac{3 x^{2} - 7 x + 8}{x^{2} + 1} < 2 \Rightarrow 1 < x < 6 \Rightarrow (a, b) = (1, 6)$

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