Home
Class 11
MATHS
If f is a function defined by f(x)={{:((...

If f is a function defined by `f(x)={{:((x-1)/(sqrt(x)-1),"if " xgt1),(5-3x,"if "-2ltxle1),((6)/(1-10),"if "xlt-2):}` then disuss the continuity of f .

Text Solution

Verified by Experts

The correct Answer is:
`x=-2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 8(d)|19 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|32 Videos
  • LOCUS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -1(A))|17 Videos

Similar Questions

Explore conceptually related problems

If the function fix) is defined by f(x)={{:((x-1)/(sqrt(x-1)), if x gt 1),(5-3x, if -2 le x le 1 "then discuss the continuity of f"),((6)/(x-10), if x lt -2):} then discuss the continuity of ‘f .

Is the function f , defined by f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):} continuous on R ?

Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"if x=2"),(,x^(2)-1,"if "xlt 2):} is continuous. Then the value of k is

If f: RR to RR is defined by f(x)={{:(,(x+2)/(x^(2)+3x+2),"if "x in R-{-1,-2}),(,-1,"if "x=-2),(,1,"if "x=-1):} then is a continuous on the set

If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x le 1),(x-1",",-3 lt x lt-1):} then find the values of (v) f(-5)

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

Check the continuity of the function f defined by f(x)={{:(x+1,if xle1),(2x,if 1 lt x lt 2x),(1+xA^(2),if x ge 2):} at x=1 and 2

If f : R to R is defined by f (x) = {:{((x+2)/(x^(2)+3x+2), if x in R - { 1,-2}), ( -1, if x = -2) , ( 0 , if x = -1 ) :} then f is continuous on the set

The domain of the function f defined by f(x)= sqrt(4-x) + (1)/(sqrt(x^(2)-1)) is equal to