<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>: (p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3: instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have 2(x*x-3*x-3*x-3(-3))-(4*x-4*3) =2(x</span></span>²<span><span>-3x-3x+9)-(4x-12) =2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us 2*x</span></span>²<span><span>-2*6x+2*9-4x+12 =2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
It will have to land on 2 or 3 to result in a number greater than 14 because if it lands on 1 the highest number you can get is 14 and that’s not greater than 14 it’s equal to it. The second die is irrelevant in the process if the first die lands on 2 or 3.
