F(x)=(x+1-|x-1|)/2 and g(x)=|x| G(x) = sgnx*f(g(x)) How do you write f(g(x))?

Question

F(x)=
`(x+1-|x-1|)/2` and g(x)=|x|

G(x) = sgnx*f(g(x))


How do you write f(g(x))?

Answer 1

`f(g(x))=(|x|+1-||x|-1|)/(2)`

Explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

`f(g(x))=(|x|+1-||x|-1|)/(2)`