Let N be the set of natural numbers. Define a real valued function `f: N to n` by f(x)=2x+1. Using this defination, complete the table given below,

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

If R denotes the set of all real numbers then the mapping f:R to R defined by f(x)=|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 numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

Show that the function f: N to N, given by f (x) =2x, is one-one but not onto.

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

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

Let R be the set of real numbers. If f:R->R is a function defined by f(x)=x^2, then f is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these