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Composition of Functions

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Composition of Functions

Postby nycmath » Fri Aug 14, 2026 7:12 pm

Given f(x) = sqrt{4 - x^2} and g(x) = [(x + 4)^3]/(x^2 + 100x), find (f/g)(x).
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Re: Composition of Functions

Postby Eigenvalue » Fri Aug 14, 2026 8:22 pm

(f/g)(x)=[tex]\frac{sqrt(4-x²)}{(x+4)³(x²+100x)}[/tex]
It can be simplified, yet the result remains the same

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Re: Composition of Functions

Postby nycmath » Fri Aug 14, 2026 8:30 pm

Eigenvalue wrote:(f/g)(x)=[tex]\frac{sqrt(4-x²)}{(x+4)³(x²+100x)}[/tex]
It can be simplified, yet the result remains the same


Wow! That's a "monster" function.

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