Final answer:
To find the value of (g o f)(-5), we first calculate f(-5), then substitute that result into g(x). The final value is 522, which corresponds to option A.
Step-by-step explanation:
The student is asking for the value of the composite function (g o f)(x) when x is -5.
First, we evaluate f(-5) = 2(-5) + 1, which simplifies to -9.
Then, we substitute -9 into the g function: g(-9) = 6(-9)2 - 5(-9) - 9.
Squaring -9 gives us 81, so our equation becomes g(-9) = 6(81) + 45 - 9.
This simplifies to 486 + 45 - 9, and finally, we get 522.
Therefore, (g o f)(-5) equals 522, which corresponds to option A.