Home
Class 12
MATHS
f: R^(+) to R defined by f(x) =2^(x) , x...

`f: R^(+) to R` defined by `f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [1, infty)` is:

A

onto

B

one - one

C

not one - one

D

a bijection

Text Solution

Verified by Experts

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

f: R^(+) to R defined by f(x) = log_(e)x, x in (0,1), f(x) =2 log_(e) x, x in [1, infty) is

f: R to R defined by f (x) = x ^(2). then f^-1(x)

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

f : R to (0, oo) defined by f (x) = 2 ^(x) . then f ^-1(x)

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

If f: R to R is defined by f(x) = 2x+|x| , then f(3x) -f(-x)-4x=

If f: R to [0, infty) defined by f(x) = 10^(x) then f^(-1)(x) =

Statement-1: f : R -{0} to R-{0} defined by f(x) =1/x is bijective Statement-II: if f: R^(+) to R defined by f(x) = logx , then f^(-1)(x)=e^(x) . Which of the following is true.

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