Solve this: Question No 4 The domain of the function : fx=1-loge1-2x isA - ,1-e2∪12, - Maths - Relations and Functions

Question

Solve this:

Question No 4

The domain of the function :

f x = 1 - log e 1 - 2 x   is A   - ∞ , 1 - e 2
∪ 1 2 , ∞ B   [ 1 - e 2 , 1 2 ) C   1 - e 2 , 1
2 D   ( 1 - e 2 , 1 2 ]

Aarushi Mishra · Accepted Answer

1-loge1-2xThe qunatity inside square root should be non-negative1-loge1-2x≥0loge1-2x≤1Using logarithmic inequality for base >1 logab≤c⇒002x<1x<12 ________11-2x≤e2x≥1-ex≥1-e2 ____________2Note 21From 1 and 2x∈[1-e2, 12)

Solve this: Question No. 4 The domain of the function : f x = 1 - log e 1 - 2 x is A - ∞ , 1 - e 2 ∪ 1 2 , ∞ B [ 1 - e 2 , 1 2 ) C 1 - e 2 , 1 2 D ( 1 - e 2 , 1 2 ]

Solve this:

Question No. 4

The domain of the function :

$f (x) = \sqrt{1 - \log_{e} (1 - 2 x)} is (A) (- \infty, \frac{1 - e}{2}) \cup (\frac{1}{2}, \infty) (B) [\frac{1 - e}{2}, \frac{1}{2}) (C) (\frac{1 - e}{2}, \frac{1}{2}) (D) (\frac{1 - e}{2}, \frac{1}{2}]$