if a and b are the roots of the equation x^2-3x+1=0, what is the value of

(1/a) + (1/b)?

If the function f is defined by f(x) = (x-1)^2 -3, where -1 is less than or equal to x and 3 is greater than or equal to x. Which of the following is the range of f?

1 answer

using the properties of roots,
a+b = 3
ab = 1

(1/a + 1/b)
= (a+b)/(ab) = 3/1 = 3

for the 2nd, "Which of the following .."
I don't see any "following"