Recovering an outer rule after a decreasing map

Recovering an outer rule after a decreasing map

4 marks

TGM Original

For all real x, g(x)=3-2x and fg(x)=x2-3x+4. Find f(x), explaining why it is determined for every real argument.

Solution:

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Answer:\(\mathrm f(x)=\dfrac{x^2+7}{4}\), \(x\in\mathbb R\).

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