Book Maths Puzzle Algebra

What is the domain of f(x)=x^4-5x^3+x^2-x-2

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I'm having some trouble with these problems. Please Help
1. The perimeter of a rectangular lot is 222 feet. if the length is 33 feet shorter than twice the width, write an equation and then find the length and width of the lot.

2. An 18 foot board is cut into three pieces. the second piece is four times as long as the first piece and the third is 2 feet longer than the first piece. write an equation and then find the lengths of the three pieces.

Thank you Solve for X: 2x-7=5x+8