The function `f:RR -> RR` defined by `f(x) = 6^x + 6^(|x|)` is

The function f : RR to RR is defined by f(x) = sin x + cos x is

The largest domain on which the function f: RR rarr RR defined by f(x)=x^(2) is ___

Prove that the function f: RR rarr RR defined by, f(x)=sin x , for all x in RR is neither one -one nor onto.

Show that , the function f: RR rarr RR defined by f(x) =x^(3)+x is bijective, here RR is the set of real numbers.

The function f : RR to RR is defined by f(x) = ((x^(2)+cos x)(1+x^(4)))/((x-sinx )(2x-x^(3)))+e^(-|x|) is

Prove that, the function f: RR rarr RR defined by f(x)=x^(3)+3x is bijective .

If the function f: RR rarr RR be defined by, f(x)={(x " when "x in QQ ),(1-x " when " x in QQ ):} then prove that , (f o f)=I_(RR) .

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

Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). Find {x:f(x) =1} Also show that, f(x+y)=f(x).f(y) "for all "x,y in RR.

Find the image set of the domain of each of the following functions : f:RR to RR defined by, f(x) = cosecx for all x in RR (pi ne n pi , n in ZZ)