Can you please help me with this question for the injective, surjective bio topic 2.(a) Explain why the function f(x) = e is not injective (one-to-one) on its naturaldomain.(b) Find the largest possible domain A, where all elements of A are non-negative andf: A → R, f(x)ez is injective.(c) Find a codomain B such that f: A → B, f(x) = e¤´ is surjective.(d) Show that g: B → A, g(x) = VIn x is the inverse of f. Why is f-1(x) # -VIn x?

As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Answered: (a) Explain why the function f(x) = e²…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 36E

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(a) Explain why the function f(x) = e² is not injective (one-to-one) on its natural domain. (b) Find the largest possible domain A, where all elements of A are non-negative and f: A → R, f(x) = e"² is injective. (c) Find a codomain B such that f: A → B, f(x) = e is surjective. (d) Show that g: B → A, g(x) = VIn x is the inverse of f. Why is f"(x) # -VIn x?

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(a) Explain why the function f(x) = e² is not injective (one-to-one) on its natural domain. (b) Find the largest possible domain A, where all elements of A are non-negative and f: A → R, f(x) = et° is injective. (c) Find a codomain B such that f: A → B, f(x) = e" is surjective.