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2) Consider the functions: f(x) = 3x + 1; g(x) = ². Additionally, let h(x) = which has a horizontal asymptote at y = 0. a) What is f-¹(x)? 6 b) show that (go f-¹)(x) = x₁ c) Find the y-intercept of h(x). d) i) Find the x-intercept of h-¹(x). ii) What is the equation for the vertical asymptote of h-1(x). e) If h-¹(c) = 4, find the value of c.

2) Consider the functions: f(x) = 3x + 1; g(x) = ². Additionally, let h(x) = which has a horizontal asymptote at y = 0. a) What is f-¹(x)? 6 b) show that (go f-¹)(x) = x₁ c) Find the y-intercept of h(x). d) i) Find the x-intercept of h-¹(x). ii) What is the equation for the vertical asymptote of h-1(x). e) If h-¹(c) = 4, find the value of c.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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6 2) Consider the functions: f (x) = 3x + 1; g(x) = ². Additionally, let h(x) = ₁, which has a horizontal x-1' asymptote at y = 0. a) What is f-¹(x)? 6 b) show that (go f-¹)(x) = x-1 c) Find the y-intercept of h(x). d) i) Find the x-intercept of h-¹(x). ii) What is the equation for the vertical asymptote of h-¹(x). e) If h-¹(c) = 4, find the value of c.
Transcribed Image Text:6 2) Consider the functions: f (x) = 3x + 1; g(x) = ². Additionally, let h(x) = ₁, which has a horizontal x-1' asymptote at y = 0. a) What is f-¹(x)? 6 b) show that (go f-¹)(x) = x-1 c) Find the y-intercept of h(x). d) i) Find the x-intercept of h-¹(x). ii) What is the equation for the vertical asymptote of h-¹(x). e) If h-¹(c) = 4, find the value of c.
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