How to compute multiparts?

Chaim

Junior Member
Joined
Oct 18, 2011
Messages
58
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
 
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