cho da thuc f(x) co bac 4 thoa man f(1)=f(-1);f(2)=f(-2). Chung minh f(2013)=f(-2013)
ai tra loi nhanh va chinh xac nhat mk cho 3 tick
cho da thuc f(x) co bac 4 thoa man f(1)=f(-1);f(2)=f(-2). Chung minh f(2013)=f(-2013)
tim da thuc co bac nho hon 4 thoa man he thuc a)3*f(x)-f(1-x)=x^2 -1
b)x*P(x-2)=(x-1)*P(x)
cho da thuc f(x) voi cac he so nguyen thoa man f(3)-f(4)=5. chung minh f(x)-6 khong co nghiem nguyen
cho da thuc f(x) thoa man
f(x)+2f(2-x)=x+2 tinh f(-1)
Cho da thuc f(x) thoa man f(x)+x.f(-x)=x+1 voi moi gia tri cua x. Tinh f(1).
Ta có :
\(f\left(1\right)+f\left(-1\right)=2\)
\(f\left(-1\right)-f\left(1\right)=0\)
\(\Rightarrow f\left(1\right)+f\left(-1\right)-f\left(-1\right)+f\left(1\right)=2-0\)
\(\Rightarrow2f\left(1\right)=2\Rightarrow f\left(1\right)=1\)
Cho da thuc f(x) thoa man dieu kien :
x.f (x+1) = ( x+2 ). f(x)
cho da thuc f(x)thoa man :
1,f(3)=2
2,f(a.b)=f(a)*f(b)
tinh f(27)
cho da thuc f(x)thoa man f(x)+x.f(x)=x+2015 voi moi gia tri cua x.Tinh f(-x)
a. Xac dinh a de nghiem cua da thuc f(x) = 2x-4 cung la nghiem cua da thuc g(x) = x^2 - ax +2b.
b. Cho f(x) = ax^3 + bx^2 + cx + d, trong do a; b; c; d la hang so va thoa man : b = 3a + c
Chung to rang : f(1) = f(-2)