Question

Find f(x) -g(x)
F(x)=-8x^3+1
g(x)=2x^3+6x+7

Answer 1

`-10x^(3) -6x-6`

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) =
`-8x^(3) +1`

g(x) =
`2x^(3) +6x+7`

To find the answer, plug both of these values into f(x) - g(x):

(
`-8x^(3) +1`)-(
`2x^(3) +6x+7`) Lets distribute the negative to
`2x^(3) +6x+7`.

`-8x^(3) +1` -
`2x^(3)-6x-7` Combine like terms

`-10x^(3) -6x-6`

Therefore, the final answer for f(x) - g(x) is equal to
`-10x^(3) -6x-6`.

I hope this helps! If you have any questions about my work please put them in the comments below!

Answer 2

Answer: -10x³ - 6x - 6

Explanation:

f(x) -g(x) means we will subtract g(x) from f(x)

Given:

(-8x³ + 1) - (2x³ + 6x + 7)

Distribute the negative:

-8x³ + 1 - 2x³ - 6x - 7

Combine like terms, simplify:

-10x³ - 6x - 6

f(x) -g(x) is -10x³ - 6x - 6