Question:

If f(x)=x√(1+x²), then (f f)(x) is

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Be careful while simplifying composite functions.
Updated On: Mar 18, 2026
  • 3x√(1+x²)
  • x√(1+3x²)
  • 3x√(1-x²)
  • None of these
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The Correct Option is D

Solution and Explanation


Step 1:
f(f(x))=x√(1+x²)√(1+(x²)/(1+x²))
Step 2:
=x√(1+2x²)
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