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?

A function f : R rarr R, where R is the set of real numbers, is defined by : f(x)= (alpha x^2+6x-8)/(alpha+6x-8x^2) . Find the interval of values of alpha for which f is onto. Is the function one-one for alpha = 3 ? Justify your answer.

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" [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 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

Let f: R rarr R where f(x) = (x^2+4x+7)/(x^2+x+1) Is f(x) one - one ?

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

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

Let f(x)=x^2-2x-1 AA x in R Let f:(-oo, a]->[b, oo) , where a is the largest real number for which f(x) is bijective. If f : R->R , g(x) = f(x) + 3x-1 , then the least value of function y = g(|x|) is