The value of the function (f.g)(x) is x^5 - 5x^4 + 4x^3 - x^2 + 5x - 4
How to evaluate the composite functions?
The functions are given as:
f(x) = x^2 - 5x + 4
g(x) = x^3−1
The function (f⋅g)(x) is calculated using:
(f.g)(x) = f(x) * g(x)
So, we have:
(f.g)(x) = (x^2 - 5x + 4) * (x^3 - 1)
Expand
(f.g)(x) = x^5 - 5x^4 + 4x^3 - x^2 + 5x - 4
Evaluate the like terms
(f.g)(x) = x^5 - 5x^4 + 4x^3 - x^2 + 5x - 4
Hence, the value of the function (f.g)(x) is x^5 - 5x^4 + 4x^3 - x^2 + 5x - 4
Read more about composite functions at:
https://brainly.com/question/10687170
#SPJ1
