Find g(f(x)) and f(2g(x))
where f(x)=2x^2-1 and
g(x)= the absolute value of x-1
g(f(x))= |2x^2 - 2| = 2|x^2 -1|
That assumes that g(x) = |x-1|, not |x| -1. The way you wrote it is ambiguous.
where f(x)=2x^2-1 and
g(x)= the absolute value of x-1
That assumes that g(x) = |x-1|, not |x| -1. The way you wrote it is ambiguous.