Home
Class 11
MATHS
If A = {1, 2, 3, 4} and f: A to R is a f...

If `A = {1, 2, 3, 4} and f: A to R` is a function defined by `f(x) = (x^(2) -x+1)/(x+1)` then find the range of f.

Text Solution

Verified by Experts

The correct Answer is:
(i) `{1/2, 1,7/4, 13/5}`, (ii) `{1,sqrt(3)/2, 1/sqrt(2), 0,1/2}`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.3 (VERY SHORT ANSWER QUESTIONS)|15 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.1 (VERY SHORT ANSWER QUESTIONS)|21 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Let f: R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

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

If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

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

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

If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1 , then f is

If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)(x) .

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

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