Question

Consider the following functions.

f(x)=x² −4
g(x)=x−2
What is (f(x))(g(x))?

A) (f(x))(g(x))=x+2;x=2
B) (f(x))(g(x))=x+2;x∈all real numbers
C) f(x)/(g(x))=x ³-2x²−4x+8;x∈all real numbers
D) None of the above

Answer 1

To find the product of the functions f(x) = x² - 4 and g(x) = x - 2, we multiply the two functions together, resulting in f(x) = x³ - 2x² - 4x + 8.

Step-by-step explanation:

To find the product of the functions f(x) = x² - 4 and g(x) = x - 2, we multiply the two functions together.

(f(x))(g(x)) = (x² - 4)(x - 2)

To simplify this expression, we can use the distributive property to multiply each term in the first function by each term in the second function.

(f(x))(g(x)) = x²(x) - x²(2) - 4(x) + 4(2)

(f(x))(g(x)) = x³ - 2x² - 4x + 8