MHT CET · Maths · Functions
The function defined by \(\mathrm{f}(x)=\frac{2 x+3}{3 x+4}, x \neq-\frac{4}{3}\) is
- A only one one
- B only onto
- C onto for \(y \neq \frac{2}{3}\) and one - one
- D neither one-one nor onto
Answer & Solution
Correct Answer
(C) onto for \(y \neq \frac{2}{3}\) and one - one
Step-by-step Solution
Detailed explanation
Assume \(f(x_1) = f(x_2)\): \(\frac{2x_1+3}{3x_1+4} = \frac{2x_2+3}{3x_2+4}\) \((2x_1+3)(3x_2+4) = (2x_2+3)(3x_1+4)\)
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