Question

If f(x) = 5x +7x-2 and g(x) = -2x² +4x+5 then what is f(x)-g(x)?

Answer 1

2x^2+8x-7

Explanation:

Combine like terms 5x+7x in your f(x) equation.

f(x) = 12x-2 then subtract g(x) from f(x).

12x-2-(-2x^2+4x+5)

Now distribute the negative to everything in the parenthses to change the signs.

12x-2+2x^2-4x-5.

Now, combine like terms. 12x-4x=8x

Combine -2-5=-7

Next, order expression beginning with largest exponent:

Your answer: 2x^2+8x-7.

Answer 2

Explanation:

`F\left[X] = 5X +7X -2 =12X-2\\`

`g\left[x] = -2x^2+4x+5 \\`

`f(x) - g(x) \\= 12x -2 - ( -2x^2+4x+5)\\=12x-2+2x^2-4x-5\\=2x^2 + 8x -7`