If g(x) is a function, g^-1(x) is its inverse. An example of this is that if y = 2x, its inverse is y = x/2. When we input the value of a function into its inverse, we get only the independent variable, x, as the answer. Therefore, the answer is 5. We can further prove this by actually attempting the question. First, lets evaluate g(5). g(5) = 32/(5 + 3) = 4. Now, we write g^-1(x) = (32/x) - 3. We input the value of g(5), which was 4, into this.
We get: g^-1(4) = (32/4) - 3 = 5. The correct answer is B.
