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Function Decomposition
Given the composition h(x) = f(g(x))
If h(x) = (x + 5)8 and f(x) = x8, find the function g(x). Help!! I'm so confused!
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Function DecompositionGiven the composition hx fgxIf hx x 58 and fx x8 find the function gx Help Im so confused class=

Respuesta :

calculista

Answer:

[tex]g(x)=(x+5)[/tex]

Step-by-step explanation:

we have

[tex]h(x)=f(g(x))[/tex]

[tex]f(x)=x^{8}[/tex]

[tex]h(x)=(x+5)^{8}[/tex]

we know that

The variable of the function f(g(x)) is equal to the function g(x)

so

f(x) -----> f(g(x))

x^{8} -----> (x+5)^{8}

The variable x becomes (x+5)

therefore

The function g(x) is equal to

[tex]g(x)=(x+5)[/tex]

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