Answer :

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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