Let f(x)=4x+2 and g(x)=5x^2+4x
After Simplifying,
f(g(x)
To simplify f(g(x)), we need to substitute the expression for g(x) into f(x):
f(g(x)) = 4(g(x)) + 2
Now we substitute g(x) = 5x^2 + 4x:
f(g(x)) = 4(5x^2 + 4x) + 2
Distributing the 4:
f(g(x)) = 20x^2 + 16x + 2
So, after simplifying, f(g(x)) = 20x^2 + 16x + 2.
To find f(g(x)), we need to substitute g(x) into the function f(x):
f(g(x)) = 4(g(x)) + 2.
Now, let's substitute the expression for g(x):
f(g(x)) = 4(5x^2 + 4x) + 2.
Next, we multiply:
f(g(x)) = 20x^2 + 16x + 2.
Therefore, after simplifying, f(g(x)) = 20x^2 + 16x + 2.
To simplify the expression f(g(x)), you need to substitute the expression for g(x) into the function f(x) and simplify.
First, find g(x) by substituting x into the expression for g(x):
g(x) = 5x^2 + 4x
Next, substitute g(x) into f(x):
f(g(x)) = f(5x^2 + 4x)
Now, replace x in f(x) with the expression 5x^2 + 4x:
f(g(x)) = 4(5x^2 + 4x) + 2
Distribute the 4 to both terms inside the parentheses:
f(g(x)) = 20x^2 + 16x + 2
So, after simplifying, f(g(x)) = 20x^2 + 16x + 2.