First slide

Functions (XII)

Question

$The domain of the function f (x) = \frac{1}{\sqrt{^{10} C_{x - 1} - 3 \times^{10} C_{x}}} c o n t a i n s t h e p o i n t s$

Moderate

A

9, 10, 11
B

9, 10, 12
C

all natural numbers
D

none of these

Solution

${Given function is defined if}^{10} C_{x - 1} > 3^{10} C_{x}$
$\begin{array}{l} or \frac{1}{11 - x} > \frac{3}{x} or 4 x > 33 \\ or x \geq 9 \\ But x \leq 10 \\ ∴ x = 9, 10 \end{array}$

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