Consider the function \( f: \mathbf{R}-\left\{-\frac{4}{3}\right\} \rightarrow \mathbf{R}-\left\...

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Consider the function \( f: \mathbf{R}-\left\{-\frac{4}{3}\right\} \rightarrow \mathbf{R}-\left\{\frac{4}{3}\right\} \) defined by \( f(x)=\frac{4 x+3}{3 x+4} \). Show that \( f \) is bijective. Find the inverse of \( f \) and hence, find \( f^{-1}(0) \) and \( x \) such that \( f^{-1}(x)=2 \).
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