It is Given f(x) = x + 1 and g(x) = x^2 therefore, the function (g o f) (x) is x^2 + x + 1.
What is function of functions and how are they represented?
The function of function, as the name suggests, is functions applied over functions themselves. This is also called function composition.
We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on the first input is called the function of functions.
The resultant function which maps the input x to the final output is called the function of a function.
If the first function is g( and the other function is f, then we can write the resultant function of the function as
[tex](f\circ g)(x)[/tex]
where the x is the input to the first function.
Thus, we have;
[tex](f\circ g)(x) = f(g(x))[/tex]
It is Given f(x) = x + 1 and g(x) = x^2, we need to find (g o f) (x)
(g o f)(x) = g(x) + f(x)
= x^2 + x + 1
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