Functions 1 Question 12

12.

If f(x)=sin⁡log⁡4−x21−x, then the domain of f(x) is… .

(1985, 2M)

Show Answer

Answer:

Correct Answer: 12. (−2,1)

Solution:

  1. Given, f(x)=sin⁡log⁡4−x21−x

For domain, 4−x21−x>0,4−x2>0 and 1−x≠0

⇒(1−x)>0 and 4−x2>0⇒x<1 and |x|<2⇒−2<x<1

Thus, domain ∈(−2,1).

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