Concept of log x and function like fog x, fof x etc.

Question

Might be the question not correct but in functions we come across something like "fof(x)", "fog(x)", etc. So, is "log(x)" meaning something like this? Or is it just a word? And if not what are independent l(x) and g(x)?

Answer 1

$l \circ g \neq log$

$\circ$ means the composition of functions: $f \circ g(x) = f(g(x)) $

log stands for logarithm.

Answer 2

The $\circ$ in "$f\circ g$" (what I think is what you mean by $fog$) is not the latter "o", but a little circle symbol (\circ in LaTeX) meant to represent the function composition. The notation "$\log$" is an abbreviation for the logarithm function.

This is one reason for why a good typesetting/handwriting is important.