Stage 9 - Q10 - 5 marks
19726
Challenge: A machine follows \(y=(x-6)^2+5\) with \(x\) nonnegative. For output 9, find all allowed inputs. Is \(x\ge0\) enough for a unique inverse? Give a restriction and inverse that work for every attainable output.
Hint
A positive-input restriction may still include both sides of the shifted square.