Composite functions are function into another function. The value of the composite function f(g(3)) is 24
Composite functions
Composite functions are function into another function. Given the following functions:
f (x) = 2x + 4 and;
g(x) = 3x + 1,
Determine the composite function f(g(3))
f(g(x)) = f(3x + 1)
f(3x+1) = 2(3x + 1) + 4
Substitute x = 3 into the result
f(g(3)) = 2(3(3)+1) + 4
f(g(3) = 2(10) + 4
f(g(3)) = 24
Hence the value of the composite function f(g(3)) is 24
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