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 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 real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let RR be the set of real numbers and f: RR rarr RR , g:RR rarr RR be defined by f(x) =5|x|-x^(2) and g(x) =2x-3 Compute (i) (g o f) (-2) (ii) (f o g) (-1) (iii) (g o f)(5) (iv) (f o g )(5)

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 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 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)

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 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: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 rarr RR, g: RR rarr RR, h: RR rarr RR be defined by , f(x) =sin x, g(x)=3x -1, h(x)=x^(2)-4 .Find the formula which defines the product function h o (g o f) and hence compute [h o( g o f)] ((pi)/(2))