If the point (2, -3) is on the graph of the one-to-one function f(x), then what...

 

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If the point (2, -3) is on the graph of the one-to-one function f(x), then what point would be on the graph of the inverse function f(x)? 11) Use composition fog and gof to verify that the following functions are inverses f(x) = 2-5x and g(x) = x 12) The function f(x) = x +1 is not one-to-one. a) State one way that we can restrict the domain off so that it becomes one-to-one. b) Calculate f(x), taking into account the restricted domain of f that was selected in part a) c) Sketch the graph of the function f with its restricted domain and its inverse function f on the same set of axes Section 1.10: Constructing Functions 13) You have 200 feet of fencing to enclose a rectangular garden. Express the area of the garden, A, as a function of the length. 14) A cylindrical can is to hold 5000 cubic centimeters of oil. Express the surface area of the can, S, as a function of its radius. 15) Let P(x,y) be a point on the graph if y =x. Express the distance, d, from point P to the point (2,0) as a function of the point's x-coordinate. If the point (2, -3) is on the graph of the one-to-one function f(x), then what point would be on the graph of the inverse function f(x)? 11) Use composition fog and gof to verify that the following functions are inverses f(x) = 2-5x and g(x) = x 12) The function f(x) = x +1 is not one-to-one. a) State one way that we can restrict the domain off so that it becomes one-to-one. b) Calculate f(x), taking into account the restricted domain of f that was selected in part a) c) Sketch the graph of the function f with its restricted domain and its inverse function f on the same set of axes Section 1.10: Constructing Functions 13) You have 200 feet of fencing to enclose a rectangular garden. Express the area of the garden, A, as a function of the length. 14) A cylindrical can is to hold 5000 cubic centimeters of oil. Express the surface area of the can, S, as a function of its radius. 15) Let P(x,y) be a point on the graph if y =x. Express the distance, d, from point P to the point (2,0) as a function of the point's x-coordinate.