1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f. g. f+g, and f.g) 2) If f(x) = x-5 and g(x) = x² + 3; Find the following: [g(f(x)), g(g(x)), f(f(2)), g(g(-5))] 3) Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. 1) y = -√x; Right 6 II) y = (x + 1) + 5; Down 5 and right 1
1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f. g. f+g, and f.g) 2) If f(x) = x-5 and g(x) = x² + 3; Find the following: [g(f(x)), g(g(x)), f(f(2)), g(g(-5))] 3) Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. 1) y = -√x; Right 6 II) y = (x + 1) + 5; Down 5 and right 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f, g, f+g, and f.g)
2) If f(x) = x - 5 and g(x) = x² + 3; Find the following: [g(f(x)), g(g(x)),
f(f(2)), g(g(-5))]
3) Give an equation for the shifted graph. Then sketch the original and shifted graphs
together, labeling each graph with its equation.
1) y = -√x; Right 6
II) y = (x + 1) + 5; Down 5 and right 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bf67a45-d965-4e44-bad4-cf0f9c53ecdd%2Fdf5f4c2d-8e78-48a4-b9f6-04cac7b50a4b%2F3lmk2m3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f, g, f+g, and f.g)
2) If f(x) = x - 5 and g(x) = x² + 3; Find the following: [g(f(x)), g(g(x)),
f(f(2)), g(g(-5))]
3) Give an equation for the shifted graph. Then sketch the original and shifted graphs
together, labeling each graph with its equation.
1) y = -√x; Right 6
II) y = (x + 1) + 5; Down 5 and right 1
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