函数f(x)=(根号2)+1/(根号x^2-2x+3)的值域
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![函数f(x)=(根号2)+1/(根号x^2-2x+3)的值域](/uploads/image/z/2519525-29-5.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3D%28%E6%A0%B9%E5%8F%B72%29%2B1%2F%28%E6%A0%B9%E5%8F%B7x%5E2-2x%2B3%29%E7%9A%84%E5%80%BC%E5%9F%9F)
函数f(x)=(根号2)+1/(根号x^2-2x+3)的值域
函数f(x)=(根号2)+1/(根号x^2-2x+3)的值域
函数f(x)=(根号2)+1/(根号x^2-2x+3)的值域
f(x)=(根号2)+1/根号(x^2-2x+3)=(根号2)+1/根号[(x-1)^2+2]
根号2≤根号[(x-1)^2+2]<+∞
0<1/根号[(x-1)^2+2]≤1/根号2=根号2/2
根号2<(根号2)+1/根号[(x-1)^2+2]≤根号2+根号2/2=3根号2/2
值域(根号2,3根号2/2]