Let `RR` be the set of real numbers and `f:RR to RR` be given by, `f(x)=log_ex.` Does f define a function ?

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

Let RR be the set of real number and f: RR rarr RR , be given by f(x)=2x^(2)-1 . .Is this mapping one -one ?

Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= cos ec x(x ne npi, n in z): then image set of f is-

Let RR be the set of real numbers and f:RR rarr RR be given by f(x)=x^(2) +2 . Find (i) f^(-1){11,16} (ii) f^(-1) {11 le x le 27} (iii) f^(-1) {0 le x le 6} (iv) f^(-1) {-2 le xle 2} (v) f^(-1) {- infty lt x le 4}

Let RR be the set of real numbers and f:RR rarr RR be defined by , f(x)=2x +1 . Find g: RR rarr RR , such that (g o f) (x) =10 x+10

Let RR be the set real numbers and f: RR rarr RR be given by f(x) =ax +2 , for all x in RR . If (f o f) =I_(RR) , find the value of a

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -

Let RR be the set of real numbers and f:RR rarr RR be defined by , f(x)=2x^(2)-5x+6 .Find f^(-1)(5) and f^(-1)(2)

Let RR^(+) be the set of positive real numbers and f: RR rarr RR ^(+) be defined by f(x) =e^(x) . Show that, f is bijective and hence find f^(-1)(x)