Prove:the function `f(x)=(x^2+4x+30)/(x^2-8x+18)` is not one-to-one.

Find the domain and range of the function f(x)=(x^2)/(1+x^2) . Is the function one-to-one?

consider the real function of f(x ) =(x^2 +2x +3)/( x^2 -8x +12) find the domain of f .

consider the real function of f(x ) =(x^2 +2x +3)/( x^2 -8x +12) find the value of x if f (x ) =1

find the domain of the function f(x) = (x^2 +2x + 1)/( x^2 -8x + 12 )

The range of the functions f(x) = (x^2 +8)/(x^2 +4) x in R is

If f(x+y)=f(x)dotf(y) for all real x , ya n df(0)!=0, then prove that the function g(x)=(f(x))/(1+{f(x)}^2) is an even function.

Prove that period of function f(x)=sinx, x in R " is " 2pi.

For xgeq0 , the smallest value of the function f(x)=(4x^2+8x+13)/(6(1+x)), is

Calculate the greatest and least values of the function f(x)=(x^4)/(x^8+2x^6-4x^4+8x^2+16)

Find the range of the function f(x)=x^2-2x-4.