A question in a maths assignment has a question which asks for “the maximum possible restriction of the domain of f(x) so that it’s inverse will also be a function”. I can’t quite understand what the question is asking from it’s wording. Here is a picture of the whole question:
Could anyone clarify for me?
2026-03-29 04:10:48.1774757448
What is the meaning of maximum possible restriction of domain for a function’s inverse to be a function
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Once you put the quadratic into the given form, you will be able to find the line of symmetry, which is given by $x=b.$ Then the function will be injective on either $(-\infty,b]$ or in $[b,+\infty).$ Either ones of these will serve as the least restriction of the domain to give the maximum range for the inverse.
Hope this helps.