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Exam-Style Question on FunctionsA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 705. This question is similar to one that appeared on an IB AA Higher paper in 2023. The use of a calculator is not allowed.
The function \( f \) is defined by \( f(x) = \frac{5x + 5}{3x - 6} \) for \( x \in \mathbb{R}, x \neq 2 \).
(a) Find the zero of \( f(x) \).
(b)For the graph of \( y = f(x) \), write down the equation of the asymptotes;
(c) Find \( f^{-1}(x) \), the inverse function of \( f(x) \).
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