If f(x)=x^2+1 and g(x)=1/x, find [f o g](x)
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http://www.analyzemath.com/CompositionFunction/CompositionTutorials.html
I will be happy to critique your work. Follow the examples in the link.
To find [f o g](x), which represents the composition of two functions f and g, we need to substitute g(x) into f(x). In this case, we have f(x) = x^2 + 1 and g(x) = 1/x.
So, [f o g](x) can be found by substituting g(x) into f(x) as follows:
[f o g](x) = f(g(x)) = f(1/x)
To find f(1/x), we substitute 1/x into f(x) and evaluate the expression.
f(1/x) = (1/x)^2 + 1 = 1/x^2 + 1
Therefore, [f o g](x) = f(1/x) = 1/x^2 + 1
In conclusion, [f o g](x) = 1/x^2 + 1.