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Question: Answered & Verified by Expert
If \( f(x)=8 x^{2}, g(x)=x^{\frac{1}{3}} \) then \( f o g(x) \) is
MathematicsDeterminantsKCETKCET 2017
Options:
  • A \( 8 x \)
  • B \( 8^{3} x \)
  • C \( (8 x)^{\frac{1}{3}} \)
  • D \( 8 x^{3} \)
Solution:
1115 Upvotes Verified Answer
The correct answer is: \( 8 x \)
Given that, \( f(x)=8 x^{3} \) and \( g(x)=x^{1 / 3} \)
So, \( (f \circ g)(x)=f\{g(x)\} \)
\( =f\left(x^{1 / 3}\right)=8\left(x^{1 / 3}\right)^{3}=8 x \)

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