KCET · Maths · Determinants
If \( f(x)=8 x^{2}, g(x)=x^{\frac{1}{3}} \) then \( f o g(x) \) is
- A \( 8 x \)
- B \( 8^{3} x \)
- C \( (8 x)^{\frac{1}{3}} \)
- D \( 8 x^{3} \)
Answer & Solution
Correct Answer
(A) \( 8 x \)
Step-by-step Solution
Detailed explanation
Given that, \( f(x)=8 x^{3} \) and \( g(x)=x^{1 / 3} \)
So, \( (f \circ g)(x)=f\{g(x)\} \)
\( =f\left(x^{1 / 3}\right)=8\left(x^{1 / 3}\right)^{3}=8 x \)
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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