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Which pair of functions represents a decomposition of f(g(x)) = | 2(x 1)2 (x 1) | ? f(x) = (x 1)2 and g(x) = | 2x 1 | f(x) = (x 1) and g(x) = | 2x2 x | f(x) = | 2x 1 | and g(x) = (x 1)2 f(x) = | 2x2 x | and g(x) = (x 1)

Respuesta :

The functional decomposition are the [tex]F(x) = 2x^{2} + x \\ G(x) = x+1[/tex].

According to the statement

we have to find that the which pair of the decomposition of the functions.

So, For this purpose, we know that the

Functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed from those parts by function composition.

So, From the given options, we have to find that the

The first option :

[tex]f(x) = (x+1)^{2} and g(x) = 2x+1[/tex]

Now, the

[tex]f(g(x)) = (2x+1)^{2} +1[/tex]

And the other options are same as it.

So,

from all these options and by solving it we get the our functional decomposition which are written below.

[tex]F(x) = 2x^{2} + x \\ G(x) = x+1[/tex]

So, The functional decomposition are the [tex]F(x) = 2x^{2} + x \\ G(x) = x+1[/tex].

Learn more about Functional decomposition here

https://brainly.com/question/14603792

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