Question

The function machine at right

follows the equation h(x) = 5x + 2.

a. If the crank is turned backwards, what number should be pulled up into the machine in order to have a 4 come out of the top?

b. Keiko wants to build a new machine that will undo what h(x) does to an input. What must Keiko's machine do to 17 to undo it
and return a value of 3?

c. An "undo" function is called an inverse and has the notation h¹(a). Note that the -1 is not a negative exponent. It is the
mathematical symbol that indicates the inverse function of h(x). Write an equation for h ¹(x), the "undo" function machine.

d. Choose a value for z. Then find a strategy to show that your equation, h¹(x), undoes the effects of the function machine h(x).

Answer 1

Answer: C

Step-by-step explanation: An "undo" function is called an inverse and has the notation h¹(a). Note that the -1 is not a negative exponent. It is the

mathematical symbol that indicates the inverse function of h(x). Write an equation for h ¹(x), the "undo" function machine.