By applying the concept of an inverse function, the value of f(g(x)) comes out to be x.
What are inverse functions?
If there are two functions f(x) and g(x) such that the domain of f is equal to the range of g and vice-versa, functions are called inverse functions to each other.
If g(x) is inverse of function f(x), g(x) is represented as f⁻¹x.
So, f(g(x)) = f( f⁻¹x)
As we know that
f(f⁻¹x)=x
So, f(g(x)) =x
Therefore, By applying the concept of an inverse function, the value of f(g(x)) comes out to be x.
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