SOLUTION: Given function p and f defined by the table below X, -2, -1,0, 1, 2 p(x), 4, 1, 0, 1, 4 T(x),3, 2, 1,-2, -3 Find 1. t(p(-1)) 2. (top)(0) 3 (pot)(-1) 4. t(t(0))

Question 1157935: Given function p and f defined by the table below
X, -2, -1,0, 1, 2
p(x), 4, 1, 0, 1, 4
T(x),3, 2, 1,-2, -3
Find
1. t(p(-1))
2. (top)(0)
3 (pot)(-1)
4. t(t(0))
5. P(t(2))
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Evaluate the "inner" function and use that function value as input to the "outer" function. For example,

t(p(-1))....
The table shows p(-1) = 1; now evaluate t with that input value
t(1) = -2

t(p(-1)) = t(1) = -2

The others are all similar; you can do them.

Note that some of the composite functions shown might not be defined. For example, t(p(-2)) is not defined, because p(-2) = 4 but t(4) is not defined.

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