Answer:
[tex]-10x^{3} -6x-6[/tex]
Step-by-step explanation:
The question is asking us to find f(x) - g(x). In the question it also gives the values of each as:
f(x) = [tex]-8x^{3} +1[/tex]
g(x) = [tex]2x^{3} +6x+7[/tex]
To find the answer, plug both of these values into f(x) - g(x):
([tex]-8x^{3} +1[/tex])-([tex]2x^{3} +6x+7[/tex]) Lets distribute the negative to [tex]2x^{3} +6x+7[/tex].
[tex]-8x^{3} +1[/tex] - [tex]2x^{3}-6x-7[/tex] Combine like terms
[tex]-10x^{3} -6x-6[/tex]
Therefore, the final answer for f(x) - g(x) is equal to [tex]-10x^{3} -6x-6[/tex].
I hope this helps! If you have any questions about my work please put them in the comments below!
