If f (x) = x^2-3x+5 and g (x) = 3x. find the product of the function.

The product of the function f (x) = x² - 3x + 5 and g (x) = 3x is;

3x³ - 9x² + 15x

Step-by-step explanation:

The product of the function is simply f. g (x) = f (x). g (x)

= (x²-3x+5). (3x)

We will go ahead and open the bracket by multiplying each variable in the parenthesis by 3x

(x²-3x+5). (3x) = 3x³ - 9x² + 15x

(That is; 3x multiplied by (x²) will give 3x², 3x multiply by (-3x) will give 9x² and 3x multiply by (5) will give 15x)

Then check if we can further simplify, since the variables are x³, x² and x, we can no longer simplify.

So our final answer is 3x³ - 9x² + 15x

f. g (x) = 3x³ - 9x² + 15x

Therefore the product of the function f (x) = x² - 3x + 5 and g (x) = 3x is 3x³ - 9x² + 15x

3x³ - 9x² + 15x

Step-by-step explanation:

f (x) * g (x)

= 3x (x² - 3x + 5) ← distribute parenthesis by 3x

= 3x³ - 9x² + 15x