It is known that f (x) is a decreasing function on a set of real numbers. If a + B ≤ 0, then the following is true? A.f(a)+f(b)≤-{f(a)+f(b)} B.f(a)+f(b)≤f(-a)+f(-b) c.f(a)+f(b)≥-{f(a)+f(b)} d.f(a)+f(b)≥f(-a)+f(-b) 2. Given that f (x) is an odd function, if x > 0, f (x) = X-1, then f (x)

It is known that f (x) is a decreasing function on a set of real numbers. If a + B ≤ 0, then the following is true? A.f(a)+f(b)≤-{f(a)+f(b)} B.f(a)+f(b)≤f(-a)+f(-b) c.f(a)+f(b)≥-{f(a)+f(b)} d.f(a)+f(b)≥f(-a)+f(-b) 2. Given that f (x) is an odd function, if x > 0, f (x) = X-1, then f (x)


1
From a + B ≤ 0
Then a ≤ - B, B ≤ - A
So there is
f(a)≥f(-b),
f(b)≥f(-a)
Add two formulas and choose D
2 Ling x 0
f(-x)=-x-1
If f (x) is an odd function, then
f(x)=-f(-x)=x+1
[this is x0
Inequality can be reduced to
x-1



Let f (x) be a decreasing function on a set of real numbers. If a + B ≤ 0, then the following is true ()
A. f(a)+f(b)≤-[f(a)+f(b)]B. f(a)+f(b)≤f(-a)+f(-b)C. f(a)+f(b)≥f(-a)+f(-b)D. f(a)+f(b)≥-[f(a)+f(b)]


∵ a + B ≤ 0, ∵ a ≤ - B, B ≤ - A, ∵ f (x) is a decreasing function on the set of real numbers, ∵ f (a) ≥ f (- b), f (b) ≥ f (- a). By adding the two formulas, f (a) + F (b) ≥ f (- a) + F (- b) is obtained



F (x) is a decreasing function on a set of real numbers if a + B is less than or equal to 0,
A f (a) + F (b) is greater than or equal to - [f (a) + F (b)]
B F (a) + F (b) less than or equal to - [f (a) + F (b)]
Which do you choose?
Some of my classmates choose a, some choose B, and a good student says AB can't get


If the image is above the x-axis, select a;
If the image is below the x-axis, select B;
If the intersection, you need to see the location of the intersection, so, this problem points discussion