Taking into account the definition of composition of functions, the composition of the two functions is g(f(x))= x²-3.
The composition of functions consists in evaluating the same value of the independent variable (x) in two or more functions successively.
A composite function is a function that is formed by the composition of two functions, which consists of successively applying the functions that are part of the operation.
Being the function g(f(x)) the compound of g with f, being f(x) a function, then g(f(x)) is obtained by substituting f(x) in the expression of g(x).
Given the functions f(x)=x² and g(x)=x-3, the composition g(f(x)) is calculated as:
g(f(x))= g(x²)= x²-3
In summary, the composition of the two functions is g(f(x))= x²-3.
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