Home
Class 12
MATHS
If f:R rarr(0, 1] is defined by f(x)=(1)...

If `f:R rarr(0, 1]` is defined by `f(x)=(1)/(x^(2)+1)`, then f is

A

a function

B

one one

C

onto

D

one one onto

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

Let f:R rarr [0, pi//2) defined by f(x)=Tan^(-1)(x^(2)+x+a) , then the set of value of a for which f is onto is

If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(tantheta)=cos2theta.

If f:R rarrR is defined by f(x)=x^(2)+3x+2, then f(x-1)=

If f:R rarr R is defined by f(x)=(1)/(2-cos 3x) for each x in R then the range of f is

If f:R rarrR is defined by f(x)=(2x+1)/(3) then f^(-1)(x)=

If f:[0,infty) to R defined by f(x) = x^(2) , then f is

If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3) , then S.T f(x) + f(1//x) = 0 .