Respuesta :

altavistard
Please, use "^" to denote exponentiation:

If f(x) = x^2 and g(x) = x - 3, then f(g(x)) = ?

To answer this question, replace (x) in f(x) = x^2 with g(x) = x - 3.  Then

f(g(x)) = (x-3)^2 - 3, or    x^2 - 6x + 9 - 3, or    f(g(x))= x^2 - 6x + 6 (answer)
MrRoyal

A composite function is gotten by combining two or more functions

The value of f(g(x)) is [tex]\mathbf{x^2 - 6x + 9}[/tex]

The functions are given as:

[tex]\mathbf{f(x) = x^2}[/tex]

[tex]\mathbf{g(x) = x -3}[/tex]

Substitute g(x) for x in f(x)

[tex]\mathbf{f(g(x)) = g(x)^2}[/tex]

Substitute x - 3 for g(x)

[tex]\mathbf{f(g(x)) = (x - 3)^2}[/tex]

Expand

[tex]\mathbf{f(g(x)) = x^2 - 6x + 9}[/tex]

Hence, the value of f(g(x)) is [tex]\mathbf{x^2 - 6x + 9}[/tex]

Read more about composite functions at:

https://brainly.com/question/20379727

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