Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
254 views
in Limits by (35 points)
recategorized by

Domain of \( f(x)=\log _{x}\left(1-e^{(1-x)}\right) \) is - 

A. \( (0,1) \cup(1, \infty) \) 

B. \( (1, \infty) \) 

C. \( (-\infty,-1] \) 

D void

Please log in or register to answer this question.

1 Answer

0 votes
by (42.1k points)

Correct option is (B) (1, \(\infty\))

\(1 - e^{1- x} > 0\) and \(x>0, x\ne 1\)

⇒ \(e^{1 - x} < 1\)

⇒ \(1 - x < 0\)

⇒ \(x > 1\)

\(\therefore \) Domain of f(x) is (1, \(\infty\))

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...