Question

Directions: Answer each problem completely, showing ALL your work. Your work must be neat and organized. Usexpected for each problem.2x-310+1. Determine the least common denominator and the domain for the problem:x2+6x+8 x2+x-122. Add32x+5x+10 x²–2x-8Simplify and state the domain.3. Add/Subtract:7x+6X+22x+214Simplify and state the domain.SubmissionTarget due: TodayВ іuVerdanaАА" Р.GBER

Answer 1

(2x - 3)/(x² + 6x + 8) + (10)/(x² + x - 12)

Factor x² + 6x + 8 as : (x + 4)(x + 2)

(2x - 3)/((x + 4)(x + 2)) + (10)/(x² + x - 12)

Factor x² + x - 12 as : (x + 4)(x - 3)

(2x - 3)/((x + 4)(x + 2)) + (10)/((x + 4)(x - 3))

Put each term over the common denominator (x-3)(x+2)(x+4) :

((x - 3)(2x - 3))/((x - 3)(x + 2)(x + 4)) + (10(x + 2))/((x - 3)(x + 2)(x + 4))

Add and simplify:

(2x² + x + 29)/((x - 3)(x + 2)(x + 4))

Domain: { x ∈ R : x ≠ -4, x ≠ -2, x ≠ 3}