Consider the equations: f(x) =-6x-1
and g(x)=4x^2
Select the solution for (fg)(x)
I interpret (fg)(x)
as
(-6x-1)(4x^2)
= -24x^3 - 4x^2
Thank you so much, greatly appreciated!
To find the solution for (fg)(x), we need to find the composition of functions f(x) and g(x).
The composition of two functions, denoted as (f ∘ g)(x), is obtained by substituting the output of g(x) into f(x).
First, let's find g(x):
g(x) = 4x^2
Then, substitute g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = f(4x^2)
Now, substitute (4x^2) into f(x):
(f ∘ g)(x) = -6(4x^2) - 1
Simplifying the expression:
(f ∘ g)(x) = -24x^2 - 1
Therefore, the solution for (fg)(x) is -24x^2 - 1.