The values of the composite functions can be derived from the given tables as follows;
- The domain of f(x) are; -2, -1, 0, 1
- The range of g(x) are; 2, 0, 1, 5
How can the composite functions be evaluated?
By composite functions definition, we have;
(g•f)(0) = g(f(0))
From the given tables, we have;
f(0) = 1
g(1) = -2
Therefore;
- (g•f)(0) = g(f(0)) = g(1) = -2
Similarly, we have;
(g•f)(1) = g(f(1))
From the given tables, we have;
f(1) = 0
g(0) = 1
Therefore;
- (g•f)(1) = g(f(1)) = g(0) = 1
The domain of f(x) are the possible x-values of f(x).
- From the given table the domain of f(x) is; -2, -1, 0, 1
The range of g(x) are the possible y-values of g(x).
- The range of g(x) from the given table is; 2, 0, 1, 5
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