The Best Guide On Function Composition: (Fog)(X) Explained With Examples

what is (fog)(x)

f(g(x)) or plugging g(x) into (f(x))

Assuming that fog means function composition, (fog)(x) represents the output of the function f composed with the function g, evaluated at the input x. In other words, we first apply the function g to x, and then apply the function f to the result of the first computation. Mathematically, we can write (fog)(x) as f(g(x)).

For example, if f(x) = 2x + 1 and g(x) = x^2, then (fog)(x) would be f(g(x)) = 2(x^2) + 1, which simplifies to (2x^2 + 1).

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