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X Let f(x) = cos(7x) and g(x) x + 9 functions and their respective domains in interval notation. a) (fog)(x) (fog)(x) = (cos(7x)x)/(x+9) That's not it. Domain of (fog)(x) Domain (-infinity,-9)U(-9, infinity) Correct. Good Job! b) (gof)(x) (gof)(x) = (xcos(7x))/(x+9) ! Not quite. = Determine the following combined (ƒ ○ g)(x) = - Preview (-∞, -9) U(-9, ∞) (gof)(x) Preview cos(7x)x x+9 = Preview x cos(7x) x+9 Domain of (gof)(x) Domain (- infinity,-9)U(-9, infinity) Not quite. c) (ƒ of)(x) (fof)(x) = cos^2(7x) Nope. Domain of (f of)(x) Domain (- infinity, infinity) Correct. Good Job! d) (gog)(x) (gog)(x) = x^2/(x+9)^2 Not quite. Domain of (gog)(x) Domain Preview (-∞, -9) U(-9, ∞0) Preview (fof)(x) = cos² (7x) Preview (-∞0, ∞) Preview x (gog)(x) = (x+9)² Preview

X Let f(x) = cos(7x) and g(x) x + 9 functions and their respective domains in interval notation. a) (fog)(x) (fog)(x) = (cos(7x)x)/(x+9) That's not it. Domain of (fog)(x) Domain (-infinity,-9)U(-9, infinity) Correct. Good Job! b) (gof)(x) (gof)(x) = (xcos(7x))/(x+9) ! Not quite. = Determine the following combined (ƒ ○ g)(x) = - Preview (-∞, -9) U(-9, ∞) (gof)(x) Preview cos(7x)x x+9 = Preview x cos(7x) x+9 Domain of (gof)(x) Domain (- infinity,-9)U(-9, infinity) Not quite. c) (ƒ of)(x) (fof)(x) = cos^2(7x) Nope. Domain of (f of)(x) Domain (- infinity, infinity) Correct. Good Job! d) (gog)(x) (gog)(x) = x^2/(x+9)^2 Not quite. Domain of (gog)(x) Domain Preview (-∞, -9) U(-9, ∞0) Preview (fof)(x) = cos² (7x) Preview (-∞0, ∞) Preview x (gog)(x) = (x+9)² Preview

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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X Let f(x) = cos(7x) and g(x) x + 9 functions and their respective domains in interval notation. a) (fog)(x) (fog)(x) = (cos(7x)x)/(x+9) That's not it. Domain of (fog)(x) Domain (-infinity,-9)U(-9, infinity) Correct. Good Job! b) (gof)(x) (gof)(x) = (xcos(7x))/(x+9) ! Not quite. = Determine the following combined (ƒ ○ g)(x) = - Preview (-∞, -9) U(-9, ∞) (gof)(x) Preview cos(7x)x x+9 = Preview x cos(7x) x+9
Transcribed Image Text:X Let f(x) = cos(7x) and g(x) x + 9 functions and their respective domains in interval notation. a) (fog)(x) (fog)(x) = (cos(7x)x)/(x+9) That's not it. Domain of (fog)(x) Domain (-infinity,-9)U(-9, infinity) Correct. Good Job! b) (gof)(x) (gof)(x) = (xcos(7x))/(x+9) ! Not quite. = Determine the following combined (ƒ ○ g)(x) = - Preview (-∞, -9) U(-9, ∞) (gof)(x) Preview cos(7x)x x+9 = Preview x cos(7x) x+9
Domain of (gof)(x) Domain (- infinity,-9)U(-9, infinity) Not quite. c) (ƒ of)(x) (fof)(x) = cos^2(7x) Nope. Domain of (f of)(x) Domain (- infinity, infinity) Correct. Good Job! d) (gog)(x) (gog)(x) = x^2/(x+9)^2 Not quite. Domain of (gog)(x) Domain Preview (-∞, -9) U(-9, ∞0) Preview (fof)(x) = cos² (7x) Preview (-∞0, ∞) Preview x (gog)(x) = (x+9)² Preview
Transcribed Image Text:Domain of (gof)(x) Domain (- infinity,-9)U(-9, infinity) Not quite. c) (ƒ of)(x) (fof)(x) = cos^2(7x) Nope. Domain of (f of)(x) Domain (- infinity, infinity) Correct. Good Job! d) (gog)(x) (gog)(x) = x^2/(x+9)^2 Not quite. Domain of (gog)(x) Domain Preview (-∞, -9) U(-9, ∞0) Preview (fof)(x) = cos² (7x) Preview (-∞0, ∞) Preview x (gog)(x) = (x+9)² Preview
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