h(t) = t - 1

f(t) = -t - 1

g(t) = |t|

-Compute the multipart rules for g(h(t)) and h(g(t)) and sketch their graphs

So what I did first was mainly subsitution since we got the values

So for g(h(t)) would be:

g(h(t)) = g(t-1)

g(t) = |t|

g(t-1) = |t-1|

h(f(t)) = t-1 if__________

-t + 1 if_________

How do you get the 'if part'

in the answer book, it's 1<t for t-1

and t<1 for -t+1