Math (functions)

If we have the function f(x) = (ax + b) / (cx + d) with a,b,c,d real numbers for which values of a,b,c,d is the following true

f(f(x)) for all x

I do a whole lot of algebra and get that that a,b,c,d must satisfy some conditions :

c*(a+d) = 0
(d^2) - (a^2) = 0
-b *(a+b) = 0

But I'm not sure, should I try solving the system or what, somehow I feel my approach is wrong

  1. 👍 0
  2. 👎 0
  3. 👁 13
asked by Anonymous
  1. Sorry the condition that must be satisfied is f(f(x)) = x for all x

    1. 👍 0
    2. 👎 0
    posted by Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute

    asked by kim on December 18, 2009
  2. Algebra 1

    Which of the following statements is true about the function y = 5⋅x4 ? It is an even function It is an odd function It is an exponential function It is an inverse function

    asked by Jamie Ciacico on August 15, 2015
  3. College Algebra

    1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through

    asked by Chris on July 25, 2014
  4. algebra

    Give am example of a function f.N N with the property that there exists a function g. N N such that the composition got is the identity function on N but for no function h. N N does it hold that fog is the identity function on

    asked by geeta on February 27, 2014
  5. Math

    Create a function that closely gives the graph given in the link. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you did to create

    asked by Fatih on February 27, 2012
  6. Math

    How would you rewrite the equation y = 3x+1 as a function of x. Hmmm. It is written now as a function of x. Do you mean like this, where x is a function of y? x= 1/3 y -1 ? Could this be a trick question? I thought It was already

    asked by Erin on May 7, 2007
  7. Calculus

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief

    asked by Fatih on February 27, 2012
  8. Math

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief

    asked by Fatih on February 27, 2012
  9. Math

    0.08x^3 + 0.6x+2.8 absolute-value function Rational function Another polynomial function Quadratic function

    asked by Anonymous on November 23, 2013
  10. calculus

    f(x)= 3+4xe^{-5x}complete the sentences concerning the function a) the function f is decresing on the iterval...... b) the function f is increacing on the interval c) the function f is concave down on the interval d) the function

    asked by RAJ on October 17, 2014
  11. Trigonometry

    In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one -

    asked by Jake on May 12, 2010

More Similar Questions