Answer:
[tex]f(x) . g(x) = 4x^3 -21x^2 +17x -3[/tex]
Step-by-step explanation:
Here, the given function are:
f(x) = 4x- 1
[tex]g(x) = x^2 -5x +3[/tex]
Now, (f.g)(x)= f(x) . g(x)
Now, finding the value of f(x) . g(x):
[tex]f(x) . g(x) = ( 4x- 1)(x^2 -5x +3)[/tex]
[tex]=4x(x^2 -5x +3) -1(x^2 -5x +3) \\ = 4x(x^2) - 4x(5x) + 4x(3) -(x^2 -5x +3)\\=4x^3 - 20x^2 + 12x - x^2 + 5x -3\\= 4x^3 -21x^2 +17x -3[/tex]
Hence, we get that [tex]f(x) . g(x) = 4x^3 -21x^2 +17x -3[/tex]
