Home
Class 9
MATHS
If f(x)={{:("2x+3, when x is an rational...

If `f(x)={{:("2x+3, when x is an rational ,"),(x^(2)+1", when x is irrational,"):}` then f(0) =

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|36 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|52 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1|57 Videos

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos

  • PROBABILITY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2|16 Videos

Similar Questions

Explore conceptually related problems

If f(x) = 2x + 3, then x is rational. =x^(2)+1 , when x is irrational. then find - (a) f(0), (b) f(pi) .

A function is defined as, f(x)={(0, where x is rational),(1, where x is irrational)}: . Then f(x) is

If f(x)={{:("0, when x is an integer ,"),("2, when x is not an integer,"):} then f(pi) =

Two mappings f:R to R and g:R to R are defined as follows: f(x)={(0,"when x is rational"),(1,"when x is irrational"):} and g(x)={(-1,"wnen x is rational"),(0,"when x is irrational"):} then the value of [(gof)(e)+(fog)(pi)] is -

The polynomial f(x) is defined by f(x)={{:("0 when x is an integer ,"),("1 when x is not an integer ,"):} Then compute : (a)f(-2),(b)f(sqrt3) .

IF f(x)={{:(x,"if",x,"is rational"),(1-x,"if",x, "is irrational"):},"then find" lim_(xto1//2) f(x) if exists.

Let f: R to R be defined as f(x)={{:(0", x is irrational"),(sin|x|", x is rational"):} Then which of the following is true?

If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

Let f:RrarrR be defined as . f(x)={(0, "x is irrational"),(sin|x|,"x is irrational"):} Then which of the following is true?

Let f(x)={(-1+sinK_1pix, x is rational), (1+cosK_2pix, x is irrational) :} If f(x) is periodic function, then: