Advanced Algebra

posted by Keith

What is the inverse of each of the functions defined by the following equations, if the inverse
exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse
will exist. In each case, give the domain and range of both the function and its inverse.

a. f(x) = x^2n + x^n + 1

b. g(x) = (x^2-4)^(1/2)

c. h(x) = (x)/(x^3)

d. S(x) = 1/2 (e^x - e^-x)

Respond to this Question

First Name

Your Answer

Similar Questions

  1. algebra

    1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different …
  2. PreCalc!

    sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider …
  3. math

    how do you find the equations inverse and the domain of the inverse f(x)= 4x^2 -5
  4. Pre-calculus

    Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum?
  5. Math

    Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and …
  6. Math

    Directions: Does the following inverse of [2 6 exist?
  7. Advanced Functions 12

    A student writes, "The inverse of y = -√(x+2) is y = x^2 - 2." Why is this statement false?
  8. Functions - math

    The function f is such that f(x) = a^2x^2 - ax + 3b for x<=(1/2a), where a and b are constants. 1) For the case where f(-2) = 4a^2 - b +8 and f(-3) = 7a^2 - b + 14, find the possible values of a and b. 2) For the case where a = …
  9. College Algebra

    Consider the following Matrix: A= [-2 0 1 -1 -2 1 1 -1 0 ] Choose the correct description of A. Find A−1 if it exists. Multiple Choice homework question: 1) A is Nonsingular; that is, it has an inverse. A^-1= 2) A is singular; that …
  10. Algebra

    Consider the following matrix. A = 7, -5 -4, 3 Choose the correct description of A Find A^−1 if it exists. Answer either Choice 1, or Choice 2: CHOICE 1: A is nonsingular; that is, it has an inverse. A^-1 = _________ or CHOICE 2 …

More Similar Questions