Step-by-step explanation:
an inverse function simply calculates the x values for which the original function calculated a specific y.
so, the input variable of the inverse function is the output variable of the original function, and the output variable of the inverse function is the input variable of the original function.
we then just rename the variables, so that also the inverse function is a regular function in the form y = f(x).
so, domain and range simply trade places, and we rename x to y, and y to x.
therefore,
the domain of the inverse function is x > 1.
the range of the inverse function is y <= -2.
