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Let f:N→Y be a function defined as f(x)=3x+5 where Y={y∈N:y=3x+5 for somex∈N} . Then inverse of f is

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a

g(y)=y−53

b

g(y)=3y+43

c

g(y)=4+y+34

d

g(y)=y+34

answer is A.

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Detailed Solution

f−1(x)=ρ⇒f(ρ)=x 3ρ+5=x⇒ρ=x−53=f−1(x) f−1(y)=g(y)=y−53

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