An affine inverse from two conditions
An affine inverse from two conditions
5 marks
TGM Original
Let f(x)=ax+b, x in R, where a>0. Given f(2)=7 and f-1(5)=1, find a,b and the inverse function.
Solution:
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Answer:\(a=2,b=3\); \(\mathrm f^{-1}(x)=\dfrac{x-3}{2}\).
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