i missed class and am lost. Please show all work and ill giveyou the best answer
Use the function to answer the following (1-6): Assuming that f(x) is a one-to-one function (you can see that it passes the horizontal line test if you graph it with a graphing utility) find its inverse f -1(x), and then identify the domain and range of f(x) and f-1(x). Assuming that show that f(f-1(x))=f-1(f(x))=x Find the derivatives of f(x) and f-1(x). Show that According with properties of inverse functions, if the point (a, b) is on the graph of f(x).then the point (b, a) should be on the graph of Check if this property is being satisfied for the points (1,2) and (2,1) respectively. Find the slopes and the equations of the tangent lines to the graphs of f(x) and f-1(x) at the points (1, 2) and (2, 1) respectively. What is the relationship between the two slopes? Suppose that the differentiable function y = f(x) has an inverse, and the graph of f passes through the point (5, 3) and has a slope of there. Find the slope and the equation of the tangent line to the graph of at the point (3,5). Suppose the inverse o f a differentiable function y = f(x) passes through the origin with slope Find the slope and the equation o f the tangent line to the graph of the function at the origin.
