GATE CSE 1996 | Question: 2.1

Question

Let $R$ denote the set of real numbers. Let $f:R\times R \rightarrow R \times R$ be a bijective function defined by $f(x,y) = (x+y, x-y)$. The inverse function of $f$ is given by

• A. $f^{-1} (x,y) = \left( \frac {1}{x+y}, \frac{1}{x-y}\right)$
  
  
• B. $f^{ -1} (x,y) = (x-y , x+y)$
  
  
• C. $f^{-1} (x,y) = \left( \frac {x+y}{2}, \frac{x-y}{2}\right)$
  
  
• D. $f^{-1}(x,y)=\left [ 2\left(x-y\right),2\left(x+y\right) \right ]$

Comments

thanks bro

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just draw mapping and whith help of e.g find out inverse function

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c

Answer 1

C