The value of the composite function g(g^-1(25)) is 25
Composite and inverse function
Composite functions are also referred to as function of a function.
Given the function below;
g(x)=2/3x - 21,
Find the inverse of the function
y = 2/3x - 21
x = 2/3y - 21
x + 21 = 2/3y
2y = 3(x + 21)
y = 3/2(x + 21)
Determine the function g(g^-1(x))
g(3/2(x + 21)) = 2/3(3/2(x + 21)) - 21
g(3/2(x + 21)) = x
g(3/2(x + 21)) = 25
Hence the value of the composite function g(g^-1(25)) is 25
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