Let f (x) = x4 + 4x3 – 2x2 – 12x + 9, g of x is equal to the square root of the quantity x squared plus 2 times x minus 3 end quantity and h of x is equal to the quantity negative x squared plus 1 end quantity over the quantity x squared plus 2 times x minus 3 end quantityPart A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x). (5 points)Part B: How do the breaks in the domain of h (x) relate to the zeros of f (x)? (5 points)

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.