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Given the functions, f(x)= g(x) = ₁ h(x) = √x 1. Determine the following. Clearly show your work and use the correct notation. a) (fog)(2) b) (g-h)(4) c) (goh) (x)

Given the functions, f(x)= g(x) = ₁ h(x) = √x 1. Determine the following. Clearly show your work and use the correct notation. a) (fog)(2) b) (g-h)(4) c) (goh) (x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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Given the functions, g(x) = 1 h(x) = √x 1. Determine the following. Clearly show your work and use the correct notation. a) (fog) (2) b) (g - h)(4) c) (goh) (x) d) (hog)(x) e) (f - g) (x) f) (fog)(x) f(x) = x+3
Transcribed Image Text:Given the functions, g(x) = 1 h(x) = √x 1. Determine the following. Clearly show your work and use the correct notation. a) (fog) (2) b) (g - h)(4) c) (goh) (x) d) (hog)(x) e) (f - g) (x) f) (fog)(x) f(x) = x+3
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Please answer d), e), and f)

d) (hog)(x) e) (f-g)(x) f) (fog)(x)
Transcribed Image Text:d) (hog)(x) e) (f-g)(x) f) (fog)(x)
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Follow-up Question
2. Graph f(x) using DESMOS and state the domain and range of this function in interval notation: D: x € R: y E 3. State the domain and range of the inverse function, f(x), in interval notation: D: x E R: y € Now, find the equation of f-¹(x): 4. Verify that f(x) and f-¹(x) are inverse functions. Show the two parts of the proof side by side:
Transcribed Image Text:2. Graph f(x) using DESMOS and state the domain and range of this function in interval notation: D: x € R: y E 3. State the domain and range of the inverse function, f(x), in interval notation: D: x E R: y € Now, find the equation of f-¹(x): 4. Verify that f(x) and f-¹(x) are inverse functions. Show the two parts of the proof side by side:
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