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

Question

In Problems 35-44, verify that the functions f and g are inverses 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) = 3x + 4; g(x) = 1/3 (x - 4) f(x) = x^3 - 8; g(x) = 3 squareroot x + 8 In Problems 45-80, the graph of a one-to-one function f is given. Draw the graph of the inverse function 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

As it is not mentioned which question i have to solve

67) f(x) = 2x/(3x-1)

to find inverse : function should be one-on e(already given in the question)

y (3x-1) = 2x

(3x-1)/2x = 1/y

3/2 -1/2x = 1/y

3/2-1/y = 1/.2x

1/2x = 3y-2/2y

2x = 2y /3y -2

x = y /3y-2

F-1(x) = x / (3x-2)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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