Question

Let f be the one-to-one function defined by the set of ordered pairs: {(-3, 2), (4, 5), (7, 4), (10, 19)}. Then, evaluate f^-1(4).

Answer 1

To find the inverse of the function \(f\), you can switch the roles of the input and output values in the ordered pairs. So, the inverse function \(f^{-1}\) would have the ordered pairs \({(2, -3), (5, 4), (4, 7), (19, 10)}\).

Now, to evaluate \(f^{-1}(4)\), you need to find the input value (domain value) that corresponds to an output value of 4.

Looking at the ordered pairs in \(f^{-1}\), you can see that \(f^{-1}(4)\) corresponds to an input value of 7.

So, \(f^{-1}(4) = 7\).