Q. 25.0( 1 Vote )

Prove that the fu

Answer :

To prove: function is one-one and into


Given: f: N N : f(x)= 3x


We have,


f(x) = 3x


For, f(x1) = f(x2)


3x1 = 3x2


x1 = x2


When, f(x1) = f(x2) then x1 = x2


f(x) is one-one


f(x) = 3x


Let f(x) = y such that


y = 3x



If y = 1,



But as per question , hence x can not be


Hence f(x) is into


Hence Proved


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