Let f(x)=4x+2 and g(x)=5x^2+4x
After Simplifying,
(fog)(x)=
To find the composition (f o g)(x), we need to substitute the expression for g(x) into f(x), which means replacing every occurrence of x in f(x) with g(x):
(f o g)(x) = f(g(x))
Let's simplify step by step:
Given f(x) = 4x + 2 and g(x) = 5x^2 + 4x
Substituting g(x) into f(x):
f(g(x)) = 4(g(x)) + 2
Replacing g(x) with its expression:
f(g(x)) = 4(5x^2 + 4x) + 2
Now, let's simplify further:
f(g(x)) = 20x^2 + 16x + 2
Therefore, after simplifying, (f o g)(x) = 20x^2 + 16x + 2.
To find (fog)(x), we need to substitute the function g(x) into the function f(x).
Step 1: Replace every occurrence of x in f(x) with the function g(x).
f(g(x)) = 4(g(x)) + 2
Step 2: Replace g(x) with its expression.
f(g(x)) = 4(5x^2 + 4x) + 2
Step 3: Simplify the expression.
f(g(x)) = 20x^2 + 16x + 2
Therefore, after simplifying, (fog)(x) = 20x^2 + 16x + 2.