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If (f(x)=\frac{x+1}{x-2}), what is the range of (f)?यदि (f(x)=\frac{x+1}{x-2}) है, तो (f) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}\setminus{1} )( \mathbb{R}\setminus{1} )
From (y=\frac{x+1}{x-2}), (x=\frac{2y+1}{y-1}), so (y\ne 1). For a linear fractional function, isolate the impossible value.(y=\frac{x+1}{x-2}) से (x=\frac{2y+1}{y-1}), इसलिए (y\ne 1)। रैखिक भिन्न फलन में असंभव मान अलग करें।
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