Question

HELPPPPPPPPPPP PLEASE ASAP

What is (f−g)(x)?



f(x)=x4−3x2+5x−7

g(x)=x3−3x2+3x−1

Enter your answer, in standard form, in the box.

(f−g)(x)=

Answer 1

`(f-g)(x)=x^(4)-x^(3)+2x-6`

Explanation:

1- You have the following fucntion given in the problem:

`f(x)=x^(4)-3x^(2)+5x-7\\g(x)=x^(3)-3x^(2)+3x-1`

2. To solve this exercise you only need to subtract
`f(x)` and
`g(x)`, as following:

- Multiply signs.

- Add the like terms.

Then:

`(f-g)(x)=(x^(4)-3x^(2)+5x-7)-(x^(3)-3x^(2)+3x-1)\\(f-g)(x)=x^(4)-3x^(2)+5x-7-x^(3)+3x^(2)-3x+1\\(f-g)(x)=x^(4)-x^(3)+2x-6`