Question

F(x)=8x^2-2x+3
g(x)=12x^2+4x-3
what is h(x)=f(x)-g(x)?

Answer 1

h(x) = - 4x² - 6x + 6

Explanation:

It is given that,

f(x) = 8x² - 2x + 3 and

g(x) = 12x² + 4x - 3

To find h(x)

h(x) = f(x) - g(x)

h(x) = ( 8x² - 2x + 3) - (12x² + 4x - 3)

= 8x² - 2x + 3 - 12x² - 4x + 3

= 8x² - 12x² - 2x - 4x + 3 + 3

= - 4x² - 6x + 6

Therefore h(x) = - 4x² - 6x + 6

Answer 2

Answer:
`h(x)=-4x^2-6x+6`

Explanation:

To find the function h(x), you need to subtract the function
`f(x)=8x^2-2x+3` and the function
`g(x)=12x^2+4x-3`.

`h(x)=f(x)-g(x)\\h(x)=8x^2-2x+3-(12x^2+4x-3)`

Distribute the negative sign:

`h(x)=8x^2-2x+3-12x^2-4x+3`

Now you can add the like terms:

`h(x)=-4x^2-6x+6`

Therefore, you get that the function h(x) is:

`h(x)=-4x^2-6x+6`