Functions Question 544
Question: The largest possible set of real numbers which can be the domain of $ f(x)=\sqrt{1-\frac{1}{x}} $ is
[AMU 2000]
Options:
A) $ (0,\ 1)\cup (0,\ \infty ) $
B) $ (-1,\ 0)\cup (1,\ \infty ) $
C) $ (-\infty ,\ -1)\cup (0,\ \infty ) $
D) $ (-\infty ,\ 0)\cup (1,\ \infty ) $
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Answer:
Correct Answer: D
Solution:
$ 1-\frac{1}{x}>0\Rightarrow x>1 $ . Also, $ x\ne 0 $ . \ Required interval $ =(-\infty ,,0)\cup (1,,\infty ) $ .
BETA
