Math Problem Statement

A composite function can be written as [w\bigl(u(x)\bigr)], where [u] and [w] are basic functions.

Is [g(x)=(2x+1)^4] a composite function? If so, what are the "inner" and "outer" functions?

Choose 1 answer:

Choose 1 answer:

(Choice A)   

[g]is composite. The "inner" function is [x^4]and the "outer" function is [2x+1].

A

[g] is composite. The "inner" function is [x^4] and the "outer" function is [2x+1].

(Choice B)   

[g]is composite. The "inner" function is [2x+1]and the "outer" function is [x^4].

B

[g] is composite. The "inner" function is [2x+1] and the "outer" function is [x^4].

(Choice C)   

[g]is not a composite function.

C

[g] is not a composite function.

Solution

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Math Problem Analysis

Mathematical Concepts

Composite Functions
Function Composition

Formulas

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Theorems

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Suitable Grade Level

Grades 10-12