In Problems 35-44, verify that the functions f and g are inverse of each other b

Question

In Problems 35-44, verify that the functions f and g are inverse of each other by showing that f(g(s)) = x and g(f(x) = x. Give values of x that need to be excluded from the domain of f and the domain of g. f(x) = x^3 - 8; g(x) = squareroot x+8 In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse functions f^-1. In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f^-1 and check your answer. (b) Find the domain and the range of f and f^-1. F(x) = 2x/3x-1 f(x) = -3x+1/x

Explanation / Answer

68) f(x) = 3x+1/x

= 3 + 1/x

y = 3 + 1/x

y-3 = 1/x

x = 1/y-3

So the inverse of given function is

F-1(x) = 1/x-3

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.