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Home > PC3 > Chapter 1 > Lesson 1.1.6 > Problem 1-60

1-60.

Function machine: Input, x. Rule: f of x, = 3 times, x, squared. Output: f of x.A function machine is shown at right. 

  1. If the input is , what is the output?
    If the input is , what is the output?

    If , what is ? ?

  2. If is the output, what was the input?
    If is the output, what was the input?

    The output is , so solve , which is equivalent to .

  3. If the equation for determining the output from a given input is , what is the equation for determining the input from a given output?

    If the output is a value, , then solve the equation for .