Question

Let f(x) be a decreasing the function defined for x>or=0 and f(2a^2+a+1)<or= f(3a^2-4a+1)
then find the minimum and maximum value of a
plz help help help!!!show ur work

Answer 1

since f is decreasing,

2a^2+a+1 >= 3a^2-4a+1
a^2-5a <= 0
a(a-5) <= 0
0 <= a <= 5