3 times the fourth power of x minus the second power of x minus 2

3 times the fourth power of x minus the second power of x minus 2

The fourth power of 3x
=(3x + 2) (x-1)
=(3x + 2) (x + 1) (X -- 1)

Monotone decreasing interval of function f (x) = 2 ^ x ^ 2-1

Is it f (x) = 2 ^ (x ^ 2-1)?
Let g (x) = x ^ 2-1, the monotone increasing interval be [0, + infinity], and the monotone decreasing interval be (- infinity, 0]
Since f (x) = 2 ^ x is an increasing function, according to "same increasing different decreasing", the monotonic decreasing interval of F (x) is the decreasing interval of G (x)
So, the monotone decreasing interval of F (x) is (- infinite, 0]