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12th Board Practice (Section D)

Problem

If f(x)=1/f(x) and f(0)=2, then f(4) can be written in fully simplified form as mn for some integers m and n.
What are m and n?
m= 
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
n= 
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4