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If (f(x)=\frac{4x-1}{2x+5}), what is the range of (f)?यदि (f(x)=\frac{4x-1}{2x+5}) है तो (f) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}\setminus{2} )( \mathbb{R}\setminus{2} )
From (y=\frac{4x-1}{2x+5}), we get (x=\frac{-1-5y}{2y-4}), so (y\ne2). For a linear fractional function, the missing value is often the ratio of leading coefficients.(y=\frac{4x-1}{2x+5}) से (x=\frac{-1-5y}{2y-4}) मिलता है इसलिए (y\ne2)। रैखिक भिन्नात्मक फलन में अनुपलब्ध मान अक्सर अग्र गुणांकों का अनुपात होता है।
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