Let `f(x)=a+2b cos^(-1)x, b gt0`. If domain and range of f(x) are the same set, then `(b-a)` is equal to :

Let f(x)=a+2b cos^(-1)x,b>0. If domain and range of f(x) are the same set,then (b-a) equal to:

Let f : R^+ ->R be defined as f(x)= x^2-x +2 and g : [1, 2]->[1,2] be defined as g(x) = [x]+1. Where [.] Fractional part function. If the domain and range of f(g(x)) are [a, b] and [c, d) then find the value of b/a + d/c.

Let f(x) = x log x +1 then the set {x : f(x) gt0 } is equal to

Let h(x)=|k x+5|,then domainof f(x) be [-5,7], the domain of f(h(x)) be [-6,1],and the range of h(x) be the same as the domain of f(x). Then the value of k is. (a)1 (b) 2 (c) 3 (d) 4

Consider f(x) = sin^(-1) [2x] + cos^(-1) ( [ x] - 1) ( where [.] denotes greatest integer function .) If domain of f(x) " is " [a,b) and the range of f(x) is {c,d}" then " a + b + (2d)/c is equal to ( where c lt d )

Range of f(x)=sin^(-1)x+tan^(-1)x+sqrt(x+1) is [a,b] then b+a is equal to

Let f: R to R be defined by f(x) =x/(x+1), x ne -1 If a,b in R and ab ne 0, f (a/b) + f(b/a) and a+b ne 0 is equal to

Domain and range of the function f(x)=cos(sqrt(1-x^(2))) are