f(x)=(x^2+4x+5)/(x^2+4x+4)求出单调区间,并比较f(-π)与f(-√2/2)的大小.急
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f(x)=(x^2+4x+5)/(x^2+4x+4)求出单调区间,并比较f(-π)与f(-√2/2)的大小.急
f(x)=(x^2+4x+5)/(x^2+4x+4)求出单调区间,并比较f(-π)与f(-√2/2)的大小.急
f(x)=(x^2+4x+5)/(x^2+4x+4)求出单调区间,并比较f(-π)与f(-√2/2)的大小.急
f(x)=(x^2+4x+5)/(x^2+4x+4)=1+1/(x+2)^2 (x不等于-2)
(x+2)^2,x-2为增函数
x-2,f(x)为减函数
f(-π)-f(-√2/2)=(π-√2/2)(4-π-√2/2)/((2-π)^2*(2-2/2)^2)>0
f(x)=(x^2+4x+5)/(x^2+4x+4)=1+1/(x^2+4x+4)=1+1/(x+2)^2>0,显然定义域为x不等于-2
当x<-2时,y=x^2+4x+4单调递减,f(x)单调递增
当x>-2时,y=x^2+4x+4单调递增,f(x)单调递减
f(-π)=1+1/(-π+2)^2
f(-√2/2)=1+1/(-√2/2+2)^2
f(-π)>f(-√2/2)
f(x)=x^2+x (x
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x-2 ,X>=0 f(x)=f[f(x+5)],x分段函数f(x)= x-2 ,X>=0 f[f(x+5)],x
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