How to find the function h(x) = f(x) + g(x) if f(x) = 3x and g(x) = 32x + 3x?

To find the function h(x), we first need to substitute the given functions f(x) and g(x) into the equation h(x) = f(x) + g(x).

We know that:

• f(x) = 3x
• g(x) = 32x + 3x

First, let’s simplify g(x):

g(x) = 32x + 3x = 35x

Now, we can substitute these results into the function h(x):

h(x) = f(x) + g(x) = 3x + 35x

Now combine the terms:

h(x) = 38x

Therefore, the function h(x) is:

h(x) = 38x