Which of the following functions has inverse function? a)`f: ZrarrZ`defined by`f(x)=x+2` b)`f: ZrarrZ`defined by`f(x)=2x` c)`f: ZrarrZ`defined byy`f(x)=x` d)`f: ZrarrZ`defined by`f(x)=|x|`

Find the inverse of the function: f:[-1,1]rarr[-1,1] defined by f(x)=x|x|

Check whether the following functions are one to one and onto (i) f:NtoN defined by f(x) = x +3.

If f:RtoR is defined by f(x) = 2x - 3:

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Check whether the following for one-to-oneness and ontoness. (i) f: R to R" defined by f(x)="1/x (ii) f: R-{0}" defined by f(x)"=1/x .

Which of the following functions is one-one ? (1)f:R->R defined as f(x)=e^(sgn x)+e^(x^2) (2) f:[-1,oo) ->(0,oo) defined by f(x)=e^(x^2+|x|) (3)f:[3,4]->[4,6] defined by f(x)=|x-1|+|x-2|+|x-3|+x-4| (4) f(x) =sqrt(ln(cos (sin x))

The function f: R rarr R is defined by f(x)= sin x+ cos x is ..............

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