Find each of the following functions and state their domains. (Enter the domains in interval notation.) \(f(x) = x + \frac{1}{x}\), \(g(x) = \frac{x + 14}{x + 2}\) (a) \(f \circ g\ (f \circ g)(x) = \\ doma in (b) \(g \circ f\ (g \circ f)(x) = \\ doma in (c) \(f \circ f\ (f \circ f)(x) = \\ doma in (d) \(g \circ g\ (g \circ g)(x) = \\ doma in
Added by Daniel C.
Close
Step 1
b) fog(x) We don't have enough information to determine the functions f(x) and g(x), so we cannot find fog(x) or its domain. c) 05q This is not a valid function. It seems to be a combination of a number (05) and a variable (q), but it is not clear what operation Show moreβ¦
Show all steps
Your feedback will help us improve your experience
Charles Machakwa and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find each of the following functions and state their domains. (Enter the domains in interval notation.) (a) f + g domain (b) f - g domain (c) fg domain (d) f / g domain
Andrew N.
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 9x + 2, g(x) = x2 + x (a) f β g (f β g)(x) β= domain (b) g β f (g β f)(x) β= domain (c) f β f (f β f)(x) β= domain (d) g β g (g β g)(x) β= domain
Sri K.
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x, g(x) = (x + 17)/(x + 2) (a) f β g (f β g)(x) = (2x^2 + 38x + 293) / ((x + 2)(x + 17)) domain (-β, -17) βͺ (-17, -2) βͺ (-2, β) (b) g β f (g β f)(x) = (x^2 + 17x + 1) / (x^2 + 2x + 1) domain (-β, -1) βͺ (-1, β) (c) f β f (f β f)(x) = (x^4 + 3x^2 + 1) / (x(x^2 + 1)) domain (-β, 0) βͺ (0, β) (d) g β g (g β g)(x) = (18x + 51) / (3x + 21) domain (-β, -7) βͺ (-7, β)
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD