To express the function G(x) = x^2 / (x^2 + 6) in the form f∘g, we can choose two functions f(x) and g(x) such that the composition of f and g gives us G.

Let's choose g(x) = x^2 + 6 and f(x) = x / (x + 6).

Then, the composition f(g(x)) = f(x^2 + 6) = (x^2 + 6) / ((x^2 + 6) + 6) = x^2 / (x^2 + 6) = G(x).

So, (f(x), g(x)) = (x / (x + 6), x^2 + 6).

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To express the function G(x) = x^2 / (x^2 + 6) in the form f∘g, we can choose two functions f(x) and g(x) such that the composition of f and g gives us G.

Let's choose g(x) = x^2 + 6 and f(x) = x / (x + 6).

Then, the composition f(g(x)) = f(x^2 + 6) = (x^2 + 6) / ((x^2 + 6) + 6) = x^2 / (x^2 + 6) = G(x).

So, (f(x), g(x)) = (x / (x + 6), x^2 + 6).

Knowee AI · Accepted Answer

To express the function G(x) = x^2 / (x^2 + 6) in the form f∘g, we can choose two functions f(x) and g(x) such that the composition of f and g gives us G.

Let's choose g(x) = x^2 + 6 and f(x) = x / (x + 6).

Then, the composition f(g(x)) = f(x^2 + 6) = (x^2 + 6) / ((x^2 + 6) + 6) = x^2 / (x^2 + 6) = G(x).

So, (f(x), g(x)) = (x / (x + 6), x^2 + 6).

xpress the function G in the form f∘g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).)G(x) = x2x2 + 6(f(x), g(x)) =

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