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7-48.

What is the inverse of each of the functions below? Write your answers using function notation.

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

  1. See part (a).

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

    Distribute and then rewrite the equation so that all the -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 by itself.

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

  1. See part (a).