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Solution: a= x|x -5x+q=0 q 25 4x -5x+q=0 can be reduced to (x-5 2) -25 4+q=0x-5 2) =25 4-q
q≤25/4 25/4-q≥0
So the guarantee (x-5 2) = 25 4-q 0 is constant.
x can get 1, 2, 3, 4, 5
So the complement UA is an empty set.
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There is only 1 in the set
Hopefully, thank you.
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Solution: f(2)=1,f(x)=x (ax+b) 2=2a+b
f(x)=x
f(x)=x/(ax+2-2a)=x
ax^2+(1-2a)x=0
There is a unique solution. △=1-2a)^2=0
1-2a=0,a=1/2
b=1∴f(x)=2x/(x+2)
Hope it helps
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1 All 1Let x=y=1
Substituting f(x y)=f(x)-f(y).
f(1)=f(1)-f(1)=0
The inequality f(x+3)-f(1 3) 1
f(x+3)-f(1/3)<f(6)
f(3x+9)<f(6)
Because the function f(x) is defined as an increasing function over (0,+infinity), 3x+9<6
and then according to the definition domain.
x+3>0
So the answer is -3
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Let x=y=1, we get f(1)=0
The original inequality is f(3x+9)0, so x>-3, so -3
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(1) Let y=
2) Let x=1, f(1 y)=f(1)-f(y)=-f(y), then the original inequality becomes: f(x+3)+f(3)0, so x>-3, so -3
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by a=b
m+d=mq and m+2d=mq (q squared).
The common factors m(1-q)=d and m(1-q2)= - 2d, and because m(1-q2) = -2d, it can be reduced to m(1-q)(1+q)= -2d
Simultaneous m(1-q) = d m(1-q)(1+q) = -2d to obtain 1+q= -2
So q= -3
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Since a=b, then m+d=mq, m+2d=mq 2, solving these two equations gives q value of 1 and d value of 0
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(q(q squared)-1)m=2d
q-1)m=d
(q(q-squared)-1)m=2(q-1)m
Approximately go m, and q(q squared)-2q+1=0
The solution is q=1
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The individual elements are equal.
Make a list of the two equations.
Eliminate m and dq = 1
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1 Piecewise function, substituted by the corresponding analytic formula, f(-1)=f(-1+3)=f(2)=f(2+3)=f(5).
5-4=1,2,∵f(x)=cx/(2x+3),∴f[f(x)]=c^2x/(2x+3)]/2cx/(2x+3)+3]
c^2x/(2cx+6x+9)
x, i.e., c 2 = 9, and 2c + 6 = 0, c = -3
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1. f(-1)=f(3-1)=f(2)=f(3+2)=f(5)=5-4=1.(mainly based on the domain defined).
2.[c cx (2x+3)] 2 cx (2x+3)+3]=x, that is, the whole formula of x in f(x) is replaced by f(x), and both sides are divided by x, (2c+6)x+9-c 2=0, (the square of c), since it has no relationship with x, 2c+6=0, 9-c 2=0, thus c=-3
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Solution: Except for the absolute value -6-8(1)a is positive due to -1 so a=-4 (the assumption is not true).
2) When a is negative, the same solution as above a=-4
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Let f(x)=x -1 3 show monotonicity: when x 0, f(x) decreases with the increase of x;
When x<0, f(x) increases with the increase of x.
A+1>0,3-2A>0,A+1>3-2ATo sum up, the value range of A is (negative infinity,-1) (2 3,3 2) What, negative infinity is too lazy to play, you should know.
Also, I'm also a freshman in high school. The idea must be correct, and I hope there are no mistakes in the answer.
Smile Smile ] Still have questions?
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