Please ans this with in 15 to 30 mins to get a thumbs up! Please show neat and clean work . 1. a) Copy the graph.YA42-4 2 0 22f(x)(g(x)ii) y = f(x) = g(x)iii) y = g(x) = f(x)-4 xb) Use the superposition principle to generate agraph of each function.i) y = f(x) + g(x)

Answered: Image /qna-images/answer/b033a159-d76b-4824-bffb-ef38fe3fcc06.jpg

Answered: 1. a) Copy the graph. YA 4 2 4-20 2…

1. a) Copy the graph. YA 4 2 4-20 2 f(x) AR 2 4 x (g(x) b) Use the superposition principle to generate a graph of each function. i) y = f(x) + g(x) ii) y = f(x) = g(x) iii) y = g(x) = f(x) -

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 4SE: How do you find the domain for the composition of two functions, fg ?

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Question

Please ans this with in 15 to 30 mins to get a thumbs up! Please show neat and clean work .

1. a) Copy the graph.
YA
4
2
-4 2 0 2
2
f(x)
(g(x)
ii) y = f(x) = g(x)
iii) y = g(x) = f(x)
-
4 x
b) Use the superposition principle to generate a
graph of each function.
i) y = f(x) + g(x)

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How do you find the domain for the composition of two functions, fg ?
2. Let f(x)=x2x3 - 3. a) Find the domain of the function: ○ [-3,00) Ⓒ (-∞0, 3] (-∞0, 3) U (3, 0) (∞, -3) U (-3,00) b) Find the range of the function: (-∞0, 2) U (2,00) ○ [2,00) Ⓒ (-∞, -2] O (-∞, -2) U (-2, 0) c) Is f a one-to-one function? Yes, f is one-to-one. No, f is not one-to-one. d) Use your answer from part c to determine if the inverse of the function f is a function. Yes, the inverse of the function f is a function. No, the inverse of the function f is not a function.