Which of the following statements is not true? A. To verify that two​ one-to-one functions, f and​ g, are inverses of each​ other, we must show that (f of g)(x)=(g of f)(x)=x. B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x. C. The function f^-1 exists if and only if the function f is one-to-one. D. The graph of f^-1 is a reflection of the graph of f about the line y=x. {Ans: B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x.}Which of the following statements most commonly describes the relationship between the quantity x of a product and the price​ p? A. As the quantity x​ decreases, the price p tends to stay constant. B. As the quantity x​ increases, the price p tends to decrease. C. As the quantity x​ increases, the price p tends to increase. D. As the quantity x​ decreases, the price p tends to decrease. {Ans: B. As