Home
Class 11
MATHS
Let f(x)= x^(2)+ (1)/(x^(2)) and g(x)= x...

Let `f(x)= x^(2)+ (1)/(x^(2)) and g(x)= x- (1)/(x), x in R -{-1, 0,1}`. If `h(x)= (f(x))/(g(x))` then the minimum local value of h(x) is…….

A

3

B

`-3`

C

`-2 sqrt2`

D

`2 sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Testbook Illustrations for Practice Work|25 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|13 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|32 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then

f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

f(x)= (x^(2)+1)/(x^(2)-1) and g(x)= tan x . Examine the continuity of (fog) (x).

The local minimum value of f(x)=x^(2)+4x+5 is ………..

f(x)= 3x^(2)-1 and g(x)= 3 + x . If f= g then the value of x is…….

The local maximum value of f(x)=x+(1)/(x) is ………….

Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find f(x) and g(x).

If f(x)=(1-x)/(1+x)" then "f(x)+ f(1/x)=...... where (x)in R-{0,1}.

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is