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Grade: 12
        
 
If f(x)=1/(1-x) and g(x)=f[f{f(x)}] then g(x) is discontinuous at
3 years ago

Answers : (3)

Rinkoo Gupta
askIITians Faculty
80 Points
							g(x)=f[f{f(x)}]

=f[f{1/(1-x)}]
=f[1/{1-(1/(1-x)}]
=f[(x-1)/x]
=1/1-{(x-1)/x}
=1/[(x-x+1)/x]
=x
g(x)=x, which is a straight line passing through origin with slope 1.
so g(x) is continuous everywhere.

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

3 years ago
Shivam
39 Points
							
 
But sir answer is given x=0 and there is no options for everywhere continuous
3 years ago
RINKOO GUPTA
8 Points
							
you can  check th continuity of the function at x=0 
lhl at x-0 = lim h->0 f(0-h)
=lim h->0 (-h)
=0
RHL at x=0 =lim h->0 f(0+h)
=lim h->0 f(h)=lim h->0 ( h)=0
lhl=rhl 
so it is continous at x=0 
3 years ago
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