Let `f(x)=(x^2+3x+a)/(x^2+x+1)` where `f:R->R`. Find the value of parameter a' so that the given function is one-one

Let f(x)=(x^(2)+3x+a)/(x^(2)+x+1) where f:R rarr R Find the value of parameter a' so that the given function is one-one

f:R rarr R defined by f(x)=3x+2 this function is one-one?

Let f" [1,2] to (-oo,oo) be given by f(x)=(x^(4)+3x^(2)+1)/(x^(2)+1) then find value of in [f_(max)]" in "[-1,2] where [.] is greatest integer function :

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(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function)

Let f:R rarr R, such that f(x)=2x+[(x(x^(2)-1))/(4(x^(4)-x^(2)+1))+(1)/(8)]+[x]+sin x cos x then (where [.] denotes the greatest integer function) f is one-one onto

If one root pf the equation t^(2)-(12x)t-(f(x)+64x)=0 is twice of other,then find the maximum value ofthe If one root of the function f(x), where x in R

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into

bijective llUll (iii) full (v) into function functions. Give an example of each type of 3. Give an example of a function which is (ii) one-one and (i) one-one but not onto (iv) onto but not o (iii) neither one-one nor onto 4. Let f: R R be defined by 2x 3, when x <-2 3x2 2, when -2 s x s 3 f(x) 3x -1, when x 3. IV 5. Show that the function f R R: for 1 6. Show that the function f R R: x) x is many-C 7. Show that the function f R R: f(x) x is many-one a Let f 0 R f (x) sin x and X is one-one ano Sweet Self ie

Let f : R->R be a function defined by f() =(x^2-3x+4)/(x^2+3x+4)then f is (1) one-one but not onto (2) onto but not one -one (3) onto as well as one- one (4) neither onto nor one- one