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Question 6

If $$f(x) = \ln{\left(\dfrac{2 - x}{9 - x^2}\right)}$$, then the domain of the function $$f(x)$$ is

Solution

Logarithmic function is defined only for positive values

So $${\frac{2 - x}{9 - x^2}}$$ >0 and $$9-x^{2}$$ should not equal 0.

x $$\in$$ (-3,2)$$\cup$$ (3,$$\infty$$)

D is the correct answer.

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