Inverse Functions 1
For the function f(x) = x2:
(i) Determine the inverse of f in the form y = ...
y = x2 or x2 = y
Inverse: y2=x
(ii) Sketch the graphs of f and f-1 on the same system of axes.
(iii) State the type of mapping for f and its inverse.
f : many-to-one mapping
f-1 : one-to-many
(iv) State under what condition f-1 can become a function.
Restrict the range:
y ≥ 0 or y ≤ 0