8/22 Composition of functions

8/22 Composition of functions

Postby Eigenvalue » Thu Aug 20, 2026 5:20 pm

The composition of functions is (f o g)(x),or f(g(x). Here is an example of a composition of functions:

Let f(x)=x² and g(x)=3x+7
(f o g)(x)=f(g(x))=f(3x+7)=(3x+7)²=9x²+42x+49
(g o f)(x)=g(f(x))=g(x²)=3x²+7
Eigenvalue
 
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Re: 8/22 Composition of functions

Postby nycmath » Thu Aug 20, 2026 5:44 pm

Eigenvalue wrote:The composition of functions is (f o g)(x),or f(g(x). Here is an example of a composition of functions:

Let f(x)=x² and g(x)=3x+7
(f o g)(x)=f(g(x))=f(3x+7)=(3x+7)²=9x²+42x+49
(g o f)(x)=g(f(x))=g(x²)=3x²+7


Thank you. May I make a suggestion?

Keep your math replies in vertical order by skipping a space. It's easier to read that way.

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