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 Let f ∶ R → R be defined as f(x) =(x4)1/3. Find fof.

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MPPEB Assistant Grade III/Stenographer (Group 4)(Held On 28th July 2018 Shift 1)
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  1. x
  2. x4/3
  3. \(\frac{1}{x^{3 / 4}}\)
  4. x16/9

Answer (Detailed Solution Below)

Option 4 : x16/9
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Detailed Solution

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Concept:

  • For one functions f(x), (f o f) is defined as f[f(x)].

Calculation:

f(x) = =(x4)1/3 = x4/3

∴ (f o f) = f[f(x)] = (x4/3)4/3 = x16/9

Hence, "x16/9" is the correct answer.

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-> MP ESB Group 4 recruitment is done to select candidates for various posts like Stenographer Grade 3, Steno Typist, Data Entry Operator, Computer Operator, Coding Clerk, etc.

-> The candidates selected under the recruitment process will receive MP Vyapam Group 4 Salary range between Rs. 5200 to Rs. 20,200. 

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