Question

A function f has the following verbal description: "Subtract 4, then cube the result." (a) Find...

A function f has the following verbal description: "Subtract 4, then cube the result."

(a) Find a formula that expresses f algebraically.
f(x) =

(b) Make a table of values of f, for the inputs

1, 2, 3, 4, 5, and 6.

(c) Sketch a graph of f, using the table of values from part (b)

(d) How do we know that f has an inverse?

Give a verbal description for f −1.

(e) Find a formula that expresses f −1 algebraically. (If an answer does not exist, enter DNE.)

f −1(x) =

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