If f(x) = 3x-2 and g(x)= x^2+1, find (f*g)(x)

Answer 1

Greetings! Lets solve this shall we ?

So, we must find (f*g)(x) = f(x)*g(x). This means we must multiply the functions together such that

(3x-2)(x²+1)

Now we use the FOIL - Distributive Property such that

3x³ + 3x - 2x² - 2

= 3x³ - 2x² + 3x - 2

I hope this helped!