How to Multiply Functions Easily

Multiplying functions can be really fun and makes math more interesting! Let’s go through the main steps together:

1. Know Your Functions
   Start with the functions you want to multiply. For example, let’s say we have:
   $f(x) = 2x$
   $g(x) = 3x^2$

2. Multiply Them Together
   To find the product of the two functions, we write $(f \cdot g)(x)$. This means we take each function and multiply them:
   $(f \cdot g)(x) = f(x) \cdot g(x)$

3. Plug in the Values
   Next, we substitute the expressions into the equation:
   $(f \cdot g)(x) = (2x) \cdot (3x^2)$

4. Make It Simpler
   Now, we need to multiply the numbers and add the exponents of the same terms:
   $(f \cdot g)(x) = 6x^{1+2} = 6x^3$

5. You Did It!
   Great job! You have successfully multiplied the functions. The final answer is $6x^3$.

Just follow these steps, and soon you’ll be an expert at multiplying functions! Keep practicing and have fun along the way!