In the diagram, x is a negative number. and it is closer to zero than y.y is a positive number. which expression must be negativ
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The difference of course is the symbol between the f and g letters.
The circle notation means we're doing a function composition.
Writing is the same as saying
where g is the inner function.
Here's an example
f(x) = x^2
g(x) = 3x
f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)
f( g(x) ) = ( 3x )^2
f( g(x) ) = 9x^2
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On the other hand, the dot notation means we multiply the f(x) and g(x) functions.
Going back to the previous example, we could say