1.) Describe the relationship of input and output values for composite functions.
2.) Explain how you know if a radical expression is in simplest form.
3.) How can you tell if radicals are like radicals?
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For the Unit 2 Lesson 10 Radical Functions and Rational Exponents Unit Test:
11. Describe the relationship of input and output values for composite functions. (2 points)
The composition of the functions f(x) and g(x) is defined as (f∘g)(x)=f(g(x)).
(f∘g)(x)=f(g(x))means that the output of the function g(x) is the input of the function f(x).
12. Explain how you know if a radical expression is in simplest form. (2 points)
You know that the radical is in the simplest expression form if there are not squares or cubed roots in the radical. If there is then it can be simplified more. When the radical can no longer be simplified then it is in the simplest form.
13. How can you tell if radicals are like radicals? (2 points)
Like radicals have a similar root (square root, cubed root, and so on.) and a similar articulation under the extreme sign (or numbers whose force is the equivalent). So as to decide whether two radicals resemble, streamline both, and afterward check both the root and the articulation under the extreme sign.
I got the answers from a Quizlet called Algebra 2 B Unit 2: Radical Functions and Rational Exponents.
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only a few people answered the question so here
1) The function for f(x) and g(x) is defined as (f*g)(x)=f(g(x)). When looking at input and output, that means f(x) is the input for g(x)'s output.
2) There is no radical int he denominator when a radical expression is in simplest form.
3) When two radicals have the same index and radicand they are like radicals.
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1,716 now lol. Were all just lazy lol :D
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2) You will know when you dont have a radical in the denominator
3) if the index and radicad of two or more are the same its a like radical.