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Find (g∘f)(x) when f(x)=3x​ and g(x)=x²−2​/x.

User Yan Zhou
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1 Answer

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Final answer:

To find (g∘f)(x), substitute f(x) into g(x) and simplify.

Step-by-step explanation:

To find (g∘f)(x), we need to substitute the expression of f(x) into g(x) and simplify the resulting expression.

Given f(x) = 3x and g(x) = (x² - 2)/x:

(g∘f)(x) = g(f(x)) = g(3x)

Substituting f(x) = 3x into g(x), we get:

(g∘f)(x) = ((3x)² - 2)/(3x) = (9x² - 2)/(3x)

Simplifying further, we have:

(g∘f)(x) = 9x - (2/3x)

User Leeroy Brun
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