A mapping f: A \to B defined as f(x)=\frac{2 x+3}{3 x+5}, x \in A. If f is to be onto, then what are A and B equal to ? [NDA I 2023]

Correct Answer is : A=R\{−53} and B=R\{23}

A=R \ \{-\frac{5}{3}\} and B=R \ \{-\frac{2}{3}\}

A=R \ \{-\frac{3}{2}\} and B=R \ \{0\}

A=R \ \{-\frac{5}{3}\} and B=R \ \{\frac{2}{3}\}

UPSC NDA I 2023 Mathematics Solved Paper

Question : 22 of 120

Marks: +1, -0

A mapping f:A→B defined as f(x)=‌

2x+3

3x+5

,x∈A. If f is to be onto, then what are A and B equal to ?

[NDA I 2023]

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