Given the function f (x) = 1 + 1 / 2 of X (1) judge the odd even number of F (x): (2) determine whether the function f (x) is an increasing function on "(- OO, 0) Is it a decreasing function? Prove your conclusion

Given the function f (x) = 1 + 1 / 2 of X (1) judge the odd even number of F (x): (2) determine whether the function f (x) is an increasing function on "(- OO, 0) Is it a decreasing function? Prove your conclusion


f(x)=1+1/x^2
(1) Since f (- x) = 1 + 1 / (- x) ^ 2 = 1 + 1 / x ^ 2 = f (x), f (x) = 1 + 1 / x ^ 2 is even function;
(2) Let u and V be less than 0, and u



Judge the odd even number of the function f (x) = g (x square under the root + 1-x)


X ∈ R, the domain is symmetric about the origin
F (- x) = g (X & sup2; + 1 + X under the radical)
∴f(-x)≠-f(x),f(-x)≠f(x),
F (x) is a non odd and non even function



If the square of (X-2) + | y + 5 | = 0, find the cube of - 2x and the square of - Y


The square of (X-2) + | y + 5 | = 0,
So X-2 = 0, y + 5 = 0
That is, x = 2, y = - 5, cube of - 2x = - 64, square of y = 25
-Cube of 2x - square of y = - 89