E-RI03 · Recover a shifted branch from inverse data
Let \(f(x)=(x-h)^2+k\), \(x\ge h\). It is given that \(f^{-1}(5)=4\) and \(f^{-1}(26)=7\).
Find \(h\) and \(k\).
Find \(f^{-1}\), with its domain and range.
Solve \(f^{-1}(x)=x-2\), rejecting any extraneous root.
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