Differential Calculus | <p>if f(x) = -1, x<0</p&g-askIITians

iit jee Grade: 12

        if f(x) = -1, x<0

             0, x=0

             1, x>0

and g(x) = x(1 - xsquare) 

then f(g(x)) is continuous for 

a R

b R - {0}

c R - {0,1}

d R - {-1,0,1}

8 years ago

Answers : (1)

AskIitian Expert Chaitanya

16 Points

										Dear iit jee ,
 
G(x) = x(1-x^2)
 
       
G(x ) > 0  when  - infinity < x < -1 &  0 < x < 1
      = 0  when  x = -1 & 1
      < 0  when  -1 < x < 0  &  1 < x < infinity 


Hence fog(x) = -1  when - infinity < x < -1 &  0 < x < 1
           
             =  0  when  x = -1 & 1
            
             =  1  when -1 < x < 0  &  1 < x < infinity

 hence the function is discontinous at -1 ,0,1
 

      
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Chaitanya Sagar