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Home > AC > Chapter 11 > Lesson 11.1.5 > Problem 11-57

11-57.

Find the corresponding inputs or outputs for the following relations. If there is no solution, explain why not. Be careful: In some cases, there may be no solution or more than one possible solution.  

  1. Function Machine. Input: x = 8, Rule: f of x equals the absolute value of x, Output: f of 8 equals question mark

    Substitute into the equation.

  1. Function Machine. Input: x = question mark, Rule: f of x equals 3 minus the square root of x, Output: f of x equals 2

Set up the equation.

Solve for .

  1. Function Machine. Input: k equals negative 6, Rule: f of k equals k divided by 2 plus 1, Output: f of negative 6 equals question mark

    Refer to part (a).

  1. Function Machine. Input: x = 3, Rule: f of x equals the square root of the difference, x minus 5, Output: f of 3 equals question mark

    Refer to part (a).

    no solution

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