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Let [x] denote the integral part of x ∈ R and g(x) = x – [x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))
  • a)
    Has finitely many discontinuities
  • b)
     Is continuous on R
  • c)
     Is discontinuous at some x = c
  • d)
    Is a constant function.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let [x] denote the integral part of x ∈ R and g(x) = x –[x]...
The integral part of a number x, denoted as [x], is the largest integer that is less than or equal to x. It essentially rounds down x to the nearest integer.

For example:
- [3.14] = 3
- [5.99] = 5
- [-2.5] = -3
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Let [x] denote the integral part of x ∈ R and g(x) = x –[x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))a)Has finitely many discontinuitiesb)Is continuous on Rc)Is discontinuous at some x = cd)Is a constant function.Correct answer is option 'B'. Can you explain this answer?
Question Description
Let [x] denote the integral part of x ∈ R and g(x) = x –[x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))a)Has finitely many discontinuitiesb)Is continuous on Rc)Is discontinuous at some x = cd)Is a constant function.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let [x] denote the integral part of x ∈ R and g(x) = x –[x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))a)Has finitely many discontinuitiesb)Is continuous on Rc)Is discontinuous at some x = cd)Is a constant function.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let [x] denote the integral part of x ∈ R and g(x) = x –[x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))a)Has finitely many discontinuitiesb)Is continuous on Rc)Is discontinuous at some x = cd)Is a constant function.Correct answer is option 'B'. Can you explain this answer?.
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