Question

If point (x,y) lies on the graph of y = f(c), then the graph f-1 (x) must contain the point

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Answer 1

If (a, b) lies on the graph of y = f(x), then f(a) = b.

By definition the inverse of the function, f-1(x), is such that f-1(b) = a.

Therefore the point (b, a) must be on the graph of f-1(x).