y=根号(arccos(4x-1))(1/4≤x≤1/2)的反函数及其范围
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![y=根号(arccos(4x-1))(1/4≤x≤1/2)的反函数及其范围](/uploads/image/z/7205808-48-8.jpg?t=y%3D%E6%A0%B9%E5%8F%B7%EF%BC%88arccos%EF%BC%884x-1%EF%BC%89%EF%BC%89%EF%BC%881%2F4%E2%89%A4x%E2%89%A41%2F2%EF%BC%89%E7%9A%84%E5%8F%8D%E5%87%BD%E6%95%B0%E5%8F%8A%E5%85%B6%E8%8C%83%E5%9B%B4)
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y=根号(arccos(4x-1))(1/4≤x≤1/2)的反函数及其范围
y=根号(arccos(4x-1))(1/4≤x≤1/2)的反函数及其范围
y=根号(arccos(4x-1))(1/4≤x≤1/2)的反函数及其范围
1/4≤x≤1/2
0≤4x-1≤1,所以arccos(4x-1)∈[0,∏/2]
y=√arccos(4x-1)∈[0,根号下∏/2]
y^2=arccos(4x-1)
cos(y^2)=4x-1
x=[cos(y^2)+1]/4
反函数y=[cos(x^2)+1]/4,x∈[0,根号下∏/2]
全忘了