Please help with these practice equations thank you! (not a graded assignment) JOURNALProvide an example of each term.1 Square root function2 Cube root function3 Radical function4 Composition of functionsPRACTICERadical functions are inverses of poexponents greater than or equal to 2. For inverses ofeven-degree power functions, you have to restrict thefunction's domain to x ≥ 0.For two functions f and g, the composition of functionsuses 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 inthe hive after x weeks.1 Determine the corresponding range of blx) for the given domain. Describe what the domainand range represent in this problem.2 Sketch the function b(x) with the givendomain restrictions.3 Use the function b(x) to predict the beepopulation after 10 weeks.5 Write the inverse function b^(x).4 Use the function b(x) to predict the beepopulation after 20 weeks.y40000320002400016000800008162432X

Domain (x): The domain of the function is the set of possible input values. In this case, x…

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)

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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