The required function (fog)(x) is 2x^2 -1
What is the function of f(x)?
The function of f(x) and its domain is declared by the notation f: X→Y, such that the value of the function "f" with an element (x) of X, represented by f(x), is named the image of x under f.
Given:
- A function f(x) to be equal to 2x - 1 and;
- A function g(x) = x^2.
To find: (fog)(x), we will replace the value of g(x) into the function of f(x)
Thus, we have:
(fog)(x) = 2(x^2) - 1
(fog)(x) = 2x^2 -1
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