The zeroes of a function y = f(x) are –3, 0, and 2. Determine the zeroes of the function y = f(1 – x).

Question

A) –1, –3, and 2

B) –2, 1, and 3

C) –1, 1, and 4

D) –4, –1, and 1

Answer 1

C) 1,-1,4

original polynomial is

x(x+3)(x-2

replace x with 1-x to get

(1-x)(1-x+3)(1-x-2)

= (1-x)(-x+4)(-x-1)

= -(x-1)(x+1)(x-4)

which has zeros

1,-1,4