Question

please help
let the function f be defined by f(x)=x^2-2x+1 for all numbers x. if f(a)=4, which of the following could be the value of a?
a) -1
b) 0
c) 1
d)2
e)4

Answer 1

f(x) = x^2 - 2x + 1
f(a) = a^2 - 2a + 1 = 4
a^2 - 2a + 1 - 4 = 0
a^2 - 2a - 3 = 0
a^2 - 3a + a - 3 = 0
a(a - 3) + 1(a - 3) = 0
(a-3)(a+1) = 0
a = 3, -1

Answer 2

thank you so much