Q42 / 105 · JEE Main 2008 · Mathematics
Let $f: N \rightarrow Y$ be a function defined as $f(x)=4 x+3$, where $Y=\{y \in N: y=4 x+3$ for some $x \in N\}$. Show that $\mathrm{f}$ is invertible and its inverse is
- A$g(y)=\frac{3 y+4}{3}$
- B$g(y)=4+\frac{y+3}{4}$
- C$g(y)=\frac{y+3}{4}$
- Correct answerD$g(y)=\frac{y-3}{4}$
Solution
Function is increasing
$$
x=\frac{y-3}{4}=g(y)
$$
Hence, the correct answer is option: 'D'.