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1-38.

Determine the corresponding outputs for the given inputs of the following functions. 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 8 into the equation for .

  1. Function Machine. Input: x = 2, Rule: f of x equals 3 to the power of  x, Output: f of 2 equals question mark

  • Refer to part (a).

  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 quantity x minus 5, Output: f of 3 equals question mark

  • Refer to part (a).

    no solution