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Home > CCA2 > Chapter 6 > Lesson 6.2.3 > Problem 6-136

6-136.

Find the inverse of each of the functions below. Write your answers in function notation.

  1.  

    Let , switch the and the in the equation and solve for .

  2.  

    See part (a).

  3.  

    Let . Switch and . Multiply both sides of the equation by to remove the fraction.

    Distribute and then rewrite the equation so that all the y-terms are on the left side and everything else is on the right side.

    Your equation should look like this: . Factor the left side of the equation and divide both sides by to get y by itself.

    Graph the equation on a graphing calculator to see why this equation is its own inverse.

  4.  

    See part (a).