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If x ≠ 0, for which of following functions is 
, for all values of x?
, for all values of x?- a)
- b)
- c)
- d)
- e)
Correct answer is 'D'. Can you explain this answer?
Verified Answer
If x ≠ 0, for which of following functions is ,for all values of x...
Step 1: Question statement and Inferences
We have to pick the only option for which 
, Since the option will have to be true for all the values of x, substituting numbers is not the best approach. We shall try to replace x with 1/x in each option.
, Since the option will have to be true for all the values of x, substituting numbers is not the best approach. We shall try to replace x with 1/x in each option.Step 2 & 3: Finding required values and finding the final answer
Let’s check each option one by one.
A. 
.
.Not equal to f(x)
B. 
Not equal to f(x)
C. 
. Not equal to f(x)
. Not equal to f(x)D. 
Not equal to f(x)
Not equal to f(x)In the exam, you need not evaluate option (E) – since we already know that Option D is the answer- but here for practice, let’s evaluate it.
Not equal to f(x).
Most Upvoted Answer
If x ≠ 0, for which of following functions is ,for all values of x...
Step 1: Question statement and Inferences
We have to pick the only option for which , Since the option will have to be true for all the values of x, substituting numbers is not the best approach. We shall try to replace x with 1/x in each option.
, Since the option will have to be true for all the values of x, substituting numbers is not the best approach. We shall try to replace x with 1/x in each option.Step 2 & 3: Finding required values and finding the final answer
Let’s check each option one by one.
A. .
.Not equal to f(x)
B.
Not equal to f(x)
C. . Not equal to f(x)
. Not equal to f(x)D. Not equal to f(x)
Not equal to f(x)In the exam, you need not evaluate option (E) – since we already know that Option D is the answer- but here for practice, let’s evaluate it.
Not equal to f(x).
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If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer? for GMAT 2026 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer?.
If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer? for GMAT 2026 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x ≠ 0, for which of following functions is ,for all values of x?a)b)c)d)e)Correct answer is 'D'. Can you explain this answer?.
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