JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    Let \[f:N\to Y\] be a function defined as\[f\left( x \right)=4x+3\], where \[Y=\{y\in N:y=4x+3\]for some \[x\in N\}\]. Show that f is invertible and its inverse is       AIEEE  Solved  Paper-2007

    A) \[g\left( y \right)=\frac{y+3}{4}\]             

    B) \[g\left( y \right)=\frac{y-3}{4}\]

    C)                        \[g\left( y \right)=\frac{3y+4}{3}\]

    D)        \[g\left( y \right)=4+\frac{y+3}{4}\]

    Correct Answer: B

    Solution :

                    Clearly \[f\] is bijective function so it is invertible. \[y=4x+3\Rightarrow \frac{y-3}{4}=x\Rightarrow g\left( y \right)=\frac{y-3}{4}\]


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