Let f: `RR to RR` be defined by f(x)=1 -|x|. Then the range of f is

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 f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). Find range of f

Let RR and RR^+ be the sets of real numbers and positive real numbers respectively. If f:RR^+ to RR be defined by f(x)=log_ex , find (a) range of f (b) {x:f(x)=1}. Also show that, f(xy)=f(x)+f(y).

If f : RR to RR is defined by f (x) = 2x -3, then prove that f is a bijection and find its inverse.

If f, g : RR to RR are defined by f(x) = |x| - x , and g(x) = |x| - x , find g^(@) f and f^(@)g .

Let the function f:RR rarr RR be defined by f(x)=x^(2) (RR being the set of real numbers), then f 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)