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Functions question

2008 · Shift 0 · Q32
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  5. /2008 · Shift 0 · Q32

Functions question

2008 · Shift 0 · Q32

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f:N→Yf:N \to Yf:N→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. A
    g(y)=3y+44g\left( y \right) = {{3y + 4} \over 4}g(y)=43y+4​
  2. B
    g(y)=4+y+34g\left( y \right) = 4 + {{y + 3} \over 4}g(y)=4+4y+3​
  3. C
    g(y)=y+34g\left( y \right) = {{y + 3} \over 4}g(y)=4y+3​
  4. D
    g(y)=y−34g\left( y \right) = {{y - 3} \over 4}g(y)=4y−3​
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