The inverse of function f(x) = x^3 + 2 is ____________(a) f^ -1 (y) = (y – 2)^ 1/2(b) f^ -1 (y) = (y – 2)^ 1/3(c) f^ -1 (y) = (y)^ 1/3(d) f^ -1 (y) = (y – 2)The question was asked in class test.This interesting question is from Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The inverse of function f(x) = x^3 + 2 is ____________(a) f^ -1 (y) =

1.	The inverse of function f(x) = x^3 + 2 is ____________(a) f^ -1 (y) = (y – 2)^ 1/2(b) f^ -1 (y) = (y – 2)^ 1/3(c) f^ -1 (y) = (y)^ 1/3(d) f^ -1 (y) = (y – 2)The question was asked in class test.This interesting question is from Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT option is (b) F^ -1 (y) = (y – 2)^ 1/3 For explanation I would say: To FIND the inverse of the function equate f(x) then find the VALUE of x in terms of y such that f^ -1 (y) = x.

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