Mathematics

Problem

Let

f(x)=|x|

and

g(x)=x-2

. Why does

(f\circ g)(1)

differ from

(g\circ f)(1)

? a) Because subtraction commutes with the absolute value function b) Because the absolute value is applied after subtraction in

(f\circ g)

but before subtraction in

(g\circ f)

c) Because

|x|

is undefined for negative numbers d) Because

(g\circ f)

can be evaluated only for

x>2

, so it fails at

x=1