1.已知f(x+1)=x^2-3x+2,则f(x)=_______.
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1.已知f(x+1)=x^2-3x+2,则f(x)=_______.
2.设f(x+1)=x^2-1,则f(sin x)=________.
3.设y=2x+1,其反函数x=x(y)的导数x'=______.
4.设函数f(x)=(x+10)^6,则 f^m(2)=______.
5.设函数f(x)=1/(1-x) (x>1),则f[f(x)]=_____.
2.设f(x+1)=x^2-1,则f(sin x)=________.
3.设y=2x+1,其反函数x=x(y)的导数x'=______.
4.设函数f(x)=(x+10)^6,则 f^m(2)=______.
5.设函数f(x)=1/(1-x) (x>1),则f[f(x)]=_____.
1.已知f(x+1)=x^2-3x+2,则f(x)=_______.
令a=x+1
x=a-1
f(a)=(a-1)^2-3(a-1)+2=a^2-5a+4
f(x)=x^2-5x+4
2.设f(x+1)=x^2-1,则f(sin x)=________.
令a=x+1
x=a-1
f(a)=(a-1)^2-1=a^2-2a
f(sinx)=sin²x-2sinx
3.设y=2x+1,其反函数x=x(y)的导数x'=______.
x=(y-1)/2
x'=(1-0)/2=1/2
4.设函数f(x)=(x+10)^6,则 f^m(2)=______.
f(2)=(2+10)^6=12^6
f^m(x)=12^(6m)
5.设函数f(x)=1/(1-x) (x>1),则f[f(x)]=_____.
f[f(x)]=1/[1-1/(1-x)]=(1-x)/(1-x-1)=(x-1)/x
令a=x+1
x=a-1
f(a)=(a-1)^2-3(a-1)+2=a^2-5a+4
f(x)=x^2-5x+4
2.设f(x+1)=x^2-1,则f(sin x)=________.
令a=x+1
x=a-1
f(a)=(a-1)^2-1=a^2-2a
f(sinx)=sin²x-2sinx
3.设y=2x+1,其反函数x=x(y)的导数x'=______.
x=(y-1)/2
x'=(1-0)/2=1/2
4.设函数f(x)=(x+10)^6,则 f^m(2)=______.
f(2)=(2+10)^6=12^6
f^m(x)=12^(6m)
5.设函数f(x)=1/(1-x) (x>1),则f[f(x)]=_____.
f[f(x)]=1/[1-1/(1-x)]=(1-x)/(1-x-1)=(x-1)/x
1.已知f(2x+1)=3x-4,则当f(x)=4时x=_______
1.已知f(x)是二次函数,且f(0)=2,f(x+1)-f(x)=x-1,则f(x)=_______.
f(x)满足f(x)+2f(1/x)=3x,则f(x)=_______
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