4. A function f has the following verbal description: multiply by 3, add 5, and then take the third power of the result. (a) Write a verbal description for the inverse of f. (b) (c) Find algebraic formulas for f and f-¹ in terms of the input x. Check that the two functions are inverses by finding the compositions: fof-1 and f-¹o f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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4.
A function f has the following verbal description: multiply by 3, add 5, and
then take the third power of the result.
(a)
Write a verbal description for the inverse of f.
(b)
(c)
Find algebraic formulas for f and f-1 in terms of the input x.
Check that the two functions are inverses by finding the compositions: fof-¹ and f-¹of.
Transcribed Image Text:4. A function f has the following verbal description: multiply by 3, add 5, and then take the third power of the result. (a) Write a verbal description for the inverse of f. (b) (c) Find algebraic formulas for f and f-1 in terms of the input x. Check that the two functions are inverses by finding the compositions: fof-¹ and f-¹of.
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