Question

Given the linear functions f(x) = x - 2 and g(x) = -3x + 4, determine (f ⋅ g)(x).

1) (f - g)(x) = -3x - 8
2) (f ⋅ 9)(x) = -3x² - 8
3) (f - g)(x) = -3x² + 10x - 8
4) (f - g)(x) = -3x⁷ - 2x - 8

Answer 1

To find the product of two linear functions, we need to multiply them together. In this case, (f ⋅ g)(x) = -3x^2 + 10x - 8.

Step-by-step explanation:

To determine the product of the linear functions f(x) = x - 2 and g(x) = -3x + 4, we need to multiply the two functions together.

(f ⋅ g)(x) = (x - 2)(-3x + 4)

Using the distributive property, we can expand this expression and simplify:

(f ⋅ g)(x) = -3x^2 + 4x + 6x - 8

(f ⋅ g)(x) = -3x^2 + 10x - 8