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
Added by Rosario R.
Step 1
B: Show moreβ¦
Show all steps
Close
Your feedback will help us improve your experience
Sri K and 65 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 the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x, g(x) = (x + 11)/(x + 2) (a) f β g (f β g)(x) = (2x^2 + 26x + 125) / ((x + 2)(x + 11)) domain: (-β, -11) βͺ (-11, -2) βͺ (-2, β) (b) g β f (g β f)(x) = (x^2 + 11x + 1) / (x + 1)^2 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) = (12x + 33) / (3x + 15) domain: (-β, -5) βͺ (-5, β) Need Help? Read It Watch It Talk to a Tutor
Vishal P.
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 8x + 7, g(x) = x^2 + x (a) f o g (f o g)(x) = domain (b) g o f (g o f)(x) = domain (c) f o f (f o f)(x) = domain (d) g o g (g o g)(x) = domain
Adi S.
Given $f(x)=x^{2}+2 x$ and $g(x)=6-x^{2},$ find $f+g, f-g, f g,$ and $\frac{f}{g}$ . Determine the domain for each function in interval notation.
Functions
Composition of Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD