Answer & Step-by-step explanation:
For this problem, all we have to do is multiply the two expressions.
<em>f(x) = 3x + 1</em>
<em>g(x) = x² - 6</em>
Now, let's set up our equation for multiplication.
<em>(f * g)(x) = (3x + 1)(x² - 6)</em>
<em>(f * g)(x) = 3x³ - 18x + x² - 6</em>
<em>(f * g)(x) = 3x³ + x² - 18x - 6</em>
So, (f * g)(x) is 3x^3 + x^2 - 18x - 6