Question 365614
I was given a question asking the f(g(x). How would I solve a problem like this? 

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Think of f as a big fish that is eating g, which is a smaller fish,
which is eating "x", which is a worm.
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Let f(x) = x^2
Let g(x) = x+1
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Then f(g(x)) = f(x+1) = (x+1)^2
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Similarly you could form g(f(x))
g(f(x)) = g(x^2) = x^2+1
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More examples can be found using Google to search
for "composition of functions".
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Cheers,
Stan H.