a.) How is the inverse function f−1 defined if f is a one-to-one function with domain A and range B? What is the domain of f−1? What is the range of f−1?
b.) If you are given a formula for f, how do you find a formula for f−1?
c.) If you are given the graph of f, how do you find the graph of f−1?
a.) If f is a function with domain A and range B, then f−1 has domain B and range A. Thus, f−1 is defined as f−1(y)=x or f(x)=y
b.) If we have an equation y=f(x), we solve the equation for x in terms of y first, then replace x and y. Thus we get the inverse function f−1(x).
c.) Suppose that the graph of f is given, the graph of f−1 can be obtained by reflecting the graph of f about the line y=x
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