Cho da thuc f(x) thoa man f(x)+x.f(-x)=x+1 voi moi gia tri cua x. Tinh f(1).
cho da thuc f(x)thoa man f(x)+x.f(x)=x+2015 voi moi gia tri cua x.Tinh f(-x)
Cho da thuc f(x) thoa man dieu kien :
x.f (x+1) = ( x+2 ). f(x)
cho da thuc f(x) thoa man
f(x)+2f(2-x)=x+2 tinh f(-1)
Cho da thuc f(x)= ax^2+bx+c bang 0 voi moi gia tri cua x chung minh a=b=c=0
f(x) = 2 (x^3 - x) + x^2 - 3x + 3 - x^3
a) Thu gon hai da thuc tren roi xep theo luy thua giam dan cua bien
b) Tinh f(-1);g (1/2)
c) Tim f(x) + g(x);f(x) - g(x)
d) Tim gia tri cua x de f(x) = g(x) (giup mk voi mk dang can gap)
cho ham so f(x) xac dinh voi moi x
Biet vs moi gia tri tuong ung cua x, ta luon co :f(x)+2f(1/x)=x2.Tinh f(4)
\(f\left(4\right)+2f\left(\frac{1}{4}\right)=4^2=16\)(1)
\(f\left(\frac{1}{4}\right)+2f\left(\frac{1}{\frac{1}{4}}\right)=\left(\frac{1}{4}\right)^2\)
\(\Rightarrow f\left(\frac{1}{4}\right)+2f\left(4\right)=\frac{1}{16}\Rightarrow2f\left(\frac{1}{4}\right)+4f\left(4\right)=\frac{1}{8}\)(2)
Từ (1) và (2), ta được:
\(2f\left(\frac{1}{4}\right)+4f\left(4\right)-f\left(4\right)-2f\left(\frac{1}{4}\right)=\frac{1}{8}-16\)
\(\Rightarrow3f\left(4\right)=\frac{-127}{8}\Rightarrow f\left(4\right)=\frac{-127}{24}\)
cho da thuc f(x)= -2+x^4+2x^2-3x^3+4x^4-5x^4+3x^3+3 chung minh rang da thuc f(x) ko co nghiem tai moi gia tri cua x
cho ham so y=2x^2-3x+1. gia tri lon nhat cua x thoa man f(-x)=f(2x) la x=?
Cho ham so y=f(x) xac dinh voi moi x E R thoa man tinh chat: f(a+b)= f(ab) voi moi a,b E R va f(-3). Tinh f(2014)
Please for kt Toan hoc ky 1