What should be subtrated from `(3)/(2)x-(7)/(2)` so that the difference is `(7x)/(2)-(3)/(2)`?

Answer

`-2x -2`

Explanation

Let f(x) should be substracted from `(3)/(2)x,-(7)/(2)`, so that the difference is `(7x)/(2)-(3)/(2)`
`f(x)=(3x)/(2)-(7)/(2)-((7x)/(2)-(3)/(2))`
`=(3x)/(2)-(7)/(2)-(7x)/(2)+(3)/(2)rArr(3x)/(2)-(7x)/(2)-(7)/(3)+(3)/(2)`
`(3x-7x)/(2)+((-7+3)/(2))rArr(-4x)/(2)+((-4)/(2))`
f(x)=-2x-2