if f(x)=2x-4 and g(x)=x^2 -4x what is g(2n) and what is f(2)+3

Answer 1

For both f(x) and g(x), x is the variable. So, when we're looking at g(2n), that means that we're setting x = 2n. If we take g(x) and plug in 2n for x, we get:

g(x) = x² – 4x

g(2n) = (2n)² – 4(2n)

g(2n) = 4n² – 8n

Now, let's take a look at f(2) + 3. In this case, we're setting x = 2 and then adding 3 to the result of f(2). Let's start by solving for f(2):

f(x) = 2x – 4

f(2) = 2(2) – 4

f(2) = 0

Now to solve f(2) + 3, we just need to substitute f(2) into the equation:

f(2) + 3 = 0 + 3

f(2) + 3 = 3