A logarithm with a decreasing argument
A logarithm with a decreasing argument
5 marks
TGM Original
Let f(x)=3-2ln(4-x), x<4. Find its inverse with domain and range, and evaluate f-1(3) exactly.
Solution:
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Answer:\(4-\mathrm e^{(3-x)/2}\), \(D=\mathbb R\), \(R=(-\infty,4)\); \(\mathrm f^{-1}(3)=3\).
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