Question

Find (f*g)(x) for the following functions. f(x) = 2x2 – 7x – 6 g(x) = 4x – 6

Answer 1

all work is shown and pictured

Answer 2

(f*g)(x) = 8x³ - 40x² + 18x + 36

Step-by-step explanation:

We are given that:

f(x) = 2x² - 7x - 6

g(x) = 4x - 6

To get (f*g)*x), we will simply multiply the two given functions

This means that:

(f*g)(x) = f(x) × g(x)

(f*g)(x) = (2x² - 7x - 6) × (4x-6)

Now, we compute the product to get the function in the simplest form:

(f*g)(x) = (2x² - 7x - 6) × (4x-6)

(f*g)(x) = 2x²(4x) + 2x²(-6) - 7x(4x) -7x(-6) - 6(4x) - 6(-6)

(f*g)(x) = 8x³ - 12x² - 28x² + 42x - 24x + 36

(f*g)(x) = 8x³ - 40x² + 18x + 36

Hope this helps :)