Let `f: R->R \ w h e r e \ f(x)=(x^2+4x+7)/(x^2+x+1)` . Is `f(x) \ on e \ on e ?`

Let f(x): D to R be defined as f(x)=(x^2+2x+a)/(x ,^2+4x+3a),w h e r e' D ' is domain of f(x) . f(x) is a subjective function if [a] 1lt=alt=2 [b] 0 [c] 1/2 lt=a [d] 0 < a < 1

f: R->R is defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(x^2)+e^(-x^2)) is :

Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

Let f : R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)) then --(1) f is bijection (2) f is an injection only (3) f is a surjection (4) f is neither injection nor a surjection

Let f:R rarr R, f(x)=x+log_(e)(1+x^(2)) . Then f(x) is what kind of function

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

Let f : R ^(+) to R defined as f (x)= e ^(x) + ln x and g = f ^(-1) then correct statement (s) is/are:

consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

If f: R->(0,\ 2) defined by f(x)=(e^x-e^(-x))/(e^x+e^(-x))+1 is invertible, find f^(-1)dot

R rarr R be defined by f(x)=((e^(2x)-e^(-2x)))/2 . is f(x) invertible. If yes then find f^(-1)(x)