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I am helping with homework.

I am stumped here - What is the meaning of the small round circle, or small "o" in question 19 (that I underlined) and question 20

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1 Answer

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It is function composition. If you have one function $f(x)$, and another function $g(x)$, then we can create a new function named $g\circ f$ (read as: "$g$ composed with $f$") that is defined as $$(g\circ f)(x)=g(f(x))$$ For example, if $f(x)=x+1$, and $g(x)=2x-1$, then $$(g\circ f)(x)=g(f(x))=g(x+1)=2(x+1)-1=2x+1$$

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