Given the function f (x) = 2 + log3x (1 ≤ x ≤ 9), find the maximum and minimum value of the function y = [f (x) ^ 2 + F (x ^ 2), and find the corresponding value Can you add the value of F (x ^ 2) to the value of y = f (x) ^ 2

Given the function f (x) = 2 + log3x (1 ≤ x ≤ 9), find the maximum and minimum value of the function y = [f (x) ^ 2 + F (x ^ 2), and find the corresponding value Can you add the value of F (x ^ 2) to the value of y = f (x) ^ 2

No. the two are synchronous and mutually restricted. They can't be separated, otherwise the scope will be expanded!
y=(2+log3x)^2+2+2log3x
Let t = log3x, then 0

Given the condition P: function f (x) = log3x-3 (1 ≤ x ≤ 9), Let f (x) = f ^ 2 (x) + F (x ^ 2). If Q: m-2 < f (x) < m + 2, and P is a necessary and sufficient condition of Q, find the value range of real number M
The scope of F (x) in the front will be calculated, but the necessary and sufficient conditions in the back cannot be obtained

F (x) = (log3x-3) ^ 2 + log3x ^ 2-3
=(log3x-3）^2+2log3x-6+3
=(log3x-3）^2+2(log3x-3)+3
Domain 1

The function f (x) is an increasing function in the domain (- 1,1) and satisfies f (- x) = - f (x) and f (1-A) + F (1-A & # 178;)

Pay attention to domain!
f(1-a)+f(1-a²)