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Let f"":""N rarr Y be a function defin...

Let `f"":""N rarr Y` be a function defined as `f""(x)""=""4x""+""3` , where `Y""=""{y in N"":""y""=""4x""+""3` for some `x in N}` . Show that f is invertible and its inverse is
(1) `g(y)=(3y+4)/3`
(2) `g(y)=4+(y+3)/4`
(3) `g(y)=(y+3)/4`
(4) `g(y)=(y-3)/4`

A

`g(y)=4+(y+3)/(4)`

B

`g(y)=(y+3)/(4)`

C

`g(y)=(y-3)/(4)`

D

`g(y)=(3y+4)/(3)`

Text Solution

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The correct Answer is:
C
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