Question

# The range of the function is-

- R
- R – {–1}
- R – {1}
- R – {2}

Hint:

## The correct answer is: R – {–1}

### To find the range of the given function.

Let $f(x)=y$,

$2y−xy=2+x$

$2y−2=x(1+y)$

y cannot take '-1' value as x is not defined for that value.

Hence, range of the given function will be $R−{−1}$

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