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Sagot :
The required function is (fog)(x) = x^2 – 5x – 19
We have been given two functions which are:
f(x) = x^2 – 3x – 23
g(x) = x – 1
We need to find (fog)(x) which is also equal to f(g(x)).
In this, we have to replace x with the function g(x) in the function, f(x). numerically
f(g(x)) = g(x)^2 – 3g(x) – 23
Now we will write the value of g(x) in the above equation. We will get
f(g(x)) = (x-1)^2 – 3(x-1) – 23
f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23
f(g(x)) = x^2 – 5x – 19
Hence (fog)(x) = x^2 – 5x – 19 is the required function.
Learn more about function here : https://brainly.com/question/20384115
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