The Student Room Group
for finding the inverse, solve for y in terms of x.

as for the range, consider whether the function is always defined or not.
Are you sure the question does not ask 'find the range of f(x) where there are real roots/two distinct real solutions' ?
range is the possible outpuy values for the function. So what are the maximum and minimum values that f(x) can equal, and what CAN'T it equal, etc.

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