E-IR02 · A missing value and an inverse inequality
Let \(\displaystyle f(x)=\frac{3x-4}{x+2}\), \(x\ne-2\).
Write \(f(x)\) as a constant plus a reciprocal term. Hence find its range.
Find \(f^{-1}\), with its domain and range.
Find all real \(t\) for which \(f^{-1}(t)\ge0\). Explain why the upper endpoint is excluded.
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