Final answer:
To find r(x), we need to multiply f(x) and g(x). Substitute the functions, multiply the terms, and simplify the expression.
Step-by-step explanation:
To find r(x), we need to multiply f(x) and g(x). Let's substitute the functions:
f(x) = 42x² - 6x - 20
g(x) = 3x² + x² - 12x + 16
Now, multiply the terms:
r(x) = f(x) * g(x) = (42x² - 6x - 20) * (3x² + x² - 12x + 16)
You can simplify the expression by multiplying each term by each term. After multiplying, combine like terms and simplify further if needed.