Question

Let f(x)=x^2-1 and g(x)=x-2
find the following
f(x)•g(x)=

Answer 1

The product f(x)•g(x) for the functions f(x)=x^2-1 and g(x)=x-2 is found by expanding the expression (x^2 - 1)(x - 2), which simplifies to x^3 - 2x^2 - x + 2.

Step-by-step explanation:

To find the product f(x)•g(x), you simply multiply the functions f(x) and g(x) together. Given that f(x)=x^2-1 and g(x)=x-2, the product is:

f(x)•g(x) = (x^2 - 1)(x - 2)

Expanding the product by multiplying each term of the first function by each term of the second function gives:

(x^2 • x) - (x^2 • 2) - (1 • x) + (1 • 2)

Which simplifies to:

x^3 - 2x^2 - x + 2

This is the simplified form of the product of the two functions f(x) and g(x).