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Given f(x) = ²x e2x4, x ER, g(x) a) Determine the range of f(x). f(x) > = 1 x-1, x ER, x # 11. b) Find an expression for the inverse function f-¹(x). f-¹(x) = X = C) Solve the equation g(f(x)) = 1 for x and give your answer in terms of ln(2).

Given f(x) = ²x e2x4, x ER, g(x) a) Determine the range of f(x). f(x) > = 1 x-1, x ER, x # 11. b) Find an expression for the inverse function f-¹(x). f-¹(x) = X = C) Solve the equation g(f(x)) = 1 for x and give your answer in terms of ln(2).

Algebra & Trigonometry with Analytic Geometry
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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Given f(x) = e2x a) - 4, x ER, g(x) Determine the range of f(x). f(x) > X = = 1 x-¹11, x = R₁ x # 11. ER, b) Find an expression for the inverse function f-¹(x). f-¹(x) = C) Solve the equation g(f(x)) = 1 for x and give your answer in terms of In(2).
Transcribed Image Text:Given f(x) = e2x a) - 4, x ER, g(x) Determine the range of f(x). f(x) > X = = 1 x-¹11, x = R₁ x # 11. ER, b) Find an expression for the inverse function f-¹(x). f-¹(x) = C) Solve the equation g(f(x)) = 1 for x and give your answer in terms of In(2).
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