Problem 1TI: Given that h1(6)=2 , what are the corresponding input and output values of the original function h? Problem 2TI: If f(x)=x34 and g(x)=x43 , is g=f1? Problem 3TI: If f(x)=(x1)3 and g(x)=x3+1 , is g=f1 ? Problem 4TI: The domain of function f is (1,) and the range of function f is (,2)Find the domain and range of the... Problem 5TI: Using Table 4, find and interpret a. f(60) , and b. f1(60) . Problem 6TI: Using the graph in Figure 6, a. find g1(1) , and b. estimate g1(4) . Problem 7TI: Solve for x in terms of y given y=13(x5) Problem 8TI: What is the inverse of the function f(x)=2x ? State the domains of both the function and the inverse... Problem 9TI: Draw graphs of the functions fandf1 from Example 8. Problem 1SE: Describe why the horizontal line test is an effective way to determine whether a function is... Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse? Problem 3SE: Can a function be its own inverse? Explain. Problem 4SE: Are one-to-one functions either always increasing or always decreasing? Why or why not? Problem 5SE: How do you find the inverse of a function algebraically? Problem 6SE: Show that the function fx)=ax is its own inverse for all real numbers a. Problem 7SE: For the following exercises, find f1(x) for each function. 7. f(x)=x+3 Problem 8SE: For the following exercises, find f1(x) for each function. 8. f(x)=x+5 Problem 9SE: For the following exercises, find f1(x) for each function. 9. f(x)=2x Problem 10SE: For the following exercises, find f1(x) for each function. 10. f(x)=3x Problem 11SE: For the following exercises, find f1(x) for each function 11. f(x)=xx+2 Problem 12SE: For the following exercises, find f1(x) for each function. 12. f(x)=2x+35x+4 Problem 13SE: For the following exercises, find a domain on which each function f is one-to-one and... Problem 14SE: For the following exercises, find a domain on which each function f is one-to-one and... Problem 15SE: For the following exercises, find a domain on which each function f is one-to-one and... Problem 16SE: For the following exercises, find a domain on which each functionfis one-to-one and non-decreasing.... Problem 17SE: For the following exercises, use function composition to verify that f(x) and g(x) are inverse... Problem 18SE: For the following exercises, use function composition to verify that f(x) and g(x) are inverse... Problem 19SE: For the following exercises, use a graphing utility to determine whether each function is one-to-one... Problem 20SE: For the following exercises, use a graphing utility to determine whether each function is one-to-one... Problem 21SE: For the following exercises, use a graphing utility to determine whether each function is one-to-one... Problem 22SE: For the following exercises, use a graphing utility to determine whether each function is one-to-one... Problem 23SE: For the following exercises, determine whether the graph represents a one-to-one function Problem 24SE: For the following exercises, determine whether the graph represents a one-to-one function Problem 25SE: For the following exercises, use the graph of f shown in Figure 11. Find f(0). Problem 26SE: For the following exercises, use the graph offshown in Figure 11. 26. Solve f(x)=0 . Problem 27SE: For the following exercises, use the graph of f shown in Figure 11. 27. Find f1(0) . Problem 28SE: For the following exercises, use the graph of f shown in Figure 11. 28. Solve f1(x)=0 . Problem 29SE: For the following exercises, use the graph of the one-to-one function shown in Figure 12. 29. Sketch... Problem 30SE: For the following exercises, use the graph of the one-to-one function shown in Figure 12. 30. Find... Problem 31SE: For the following exercises, use the graph of the one-to-one function shown in Figure 12. If the... Problem 32SE: For the following exercises, use the graph of the one-to-one function shown in Figure 12. If the... Problem 33SE: For the following exercises, evaluate or solve, assuming that the functionfis one-to-one. 33. If... Problem 34SE: For the following exercises, evaluate or solve, assuming that the functionfis one-to-one. 34. If... Problem 35SE: For the following exercises, evaluate or solve, assuming that the function f is one-to-one. If... Problem 36SE: For the following exercises, evaluate or solve, assuming that the function f is one-to-one. If... Problem 37SE: For the following exercises, use the values listed in Table 6 to evaluate or solve. 37.Find f(1) . Problem 38SE: For the following exercises, use the values listed in Table 6 to evaluate or solve. 38. Solve f(x)=3... Problem 39SE: For the following exercises, use the values listed in Table 6 to evaluate or solve. 39.Find f1(0) . Problem 40SE: For the following exercises, use the values listed in Table 6 to evaluate or solve. 40. Solve... Problem 41SE: Use the tabular representation of f in Table 7 to create a table for f1(x) . Problem 42SE: For the following exercises, find the inverse function. Then, graph the function and its inverse... Problem 43SE: For the following exercises, find the inverse function. Then, graph the function and its inverse... Problem 44SE: For the following exercises, find the inverse function. Then, graph the function and its inverse... Problem 45SE: To convert from x degrees Celsius toy degrees Fahrenheit, we use the formula f(x)=95x+32 . Find the... Problem 46SE: The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of... Problem 47SE: A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a... format_list_bulleted