Provide an example of each term. 1 Square root function 2 Cube root function 3 Radical function 4 Composition of functions PRACTICE Radical exponents greater than or equal to 2. even-degree power functions, you have to restrict the function's domain to x ≥ 0. For two functions f and g, the composition of functions uses the output of one function as the input of the other When f(g(x)) = g(f(x)) = x, f(x) and g(x) are inverse function Brian has a new beehive. The function b(x) = 36x2 for 1 ≤ x ≤ 30 models the number of bees in the hive after x weeks. Determine the corresponding range of blx) for the given domain. Describe what the domain and range represent in this problem. 2 Sketch the function b(x) with the given domain restrictions. 3 Use the function b(x) to predict the bee population after 10 weeks. Write the inverse function b ¹(x). 4 Use the function blx) to predict the bee population after 20 weeks. y 40000- 32000 24000 16000 8000 0 8 16 24 32
Provide an example of each term. 1 Square root function 2 Cube root function 3 Radical function 4 Composition of functions PRACTICE Radical exponents greater than or equal to 2. even-degree power functions, you have to restrict the function's domain to x ≥ 0. For two functions f and g, the composition of functions uses the output of one function as the input of the other When f(g(x)) = g(f(x)) = x, f(x) and g(x) are inverse function Brian has a new beehive. The function b(x) = 36x2 for 1 ≤ x ≤ 30 models the number of bees in the hive after x weeks. Determine the corresponding range of blx) for the given domain. Describe what the domain and range represent in this problem. 2 Sketch the function b(x) with the given domain restrictions. 3 Use the function b(x) to predict the bee population after 10 weeks. Write the inverse function b ¹(x). 4 Use the function blx) to predict the bee population after 20 weeks. y 40000- 32000 24000 16000 8000 0 8 16 24 32
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Please help with these practice equations thank you! (not a graded assignment)

Transcribed Image Text:JOURNAL
Provide an example of each term.
1 Square root function
2 Cube root function
3 Radical function
4 Composition of functions
PRACTICE
Radical functions are inverses of po
exponents greater than or equal to 2. For inverses of
even-degree power functions, you have to restrict the
function's domain to x ≥ 0.
For two functions f and g, the composition of functions
uses the output of one function as the input of the other.
When f(g(x)) = g(f(x)) = x, f(x) and g(x) are inverse functions.
Brian has a new beehive. The function b(x) = 36x² for 1 ≤ x ≤ 30 models the number of bees in
the hive after x weeks.
1 Determine the corresponding range of blx) for the given domain. Describe what the domain
and range represent in this problem.
2 Sketch the function b(x) with the given
domain restrictions.
3 Use the function b(x) to predict the bee
population after 10 weeks.
5 Write the inverse function b^(x).
4 Use the function b(x) to predict the bee
population after 20 weeks.
y
40000
32000
24000
16000
8000
0
8
16
24
32
X
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