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Find the domain and range of a function f(x)=1/(1-x^2)

 
 
Swapnil
 
Reply Mon 23 Jun, 2014 11:44 am
Find the domain and range of a function f(x)=1/(1-x^2)
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Type: Question • Score: 2 • Views: 3,402 • Replies: 5
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raprap
 
  0  
Reply Mon 23 Jun, 2014 03:21 pm
@Swapnil,
F(x)=1/(1-x^2)=1/((1-x)(1+x))
F( x) is undefined for x=1 & x=-1
F(x) =1 @ x=0
Rap
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raprap
 
  0  
Reply Mon 23 Jun, 2014 03:21 pm
@Swapnil,
F(x)=1/(1-x^2)=1/((1-x)(1+x))
F( x) is undefined for x=1 & x=-1
F(x) =1 @ x=0
Rap
bobsal u1553115
 
  0  
Reply Mon 23 Jun, 2014 03:57 pm
https://duckduckgo.com/ia2/Calculate/MSP/MSP5191e117286d9c3c5ic00004ihbdc5cf51a605f?MSPStoreType=image/gif&s=17
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anurag131
 
  -2  
Reply Wed 12 Jun, 2019 12:42 am
@Swapnil,
since function defined all real number except x=+1,-1
and range will be closed interval 1 to open interval infinity
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cin123
 
  0  
Reply Mon 6 Apr, 2020 09:33 pm
@raprap,
I am struggling with these in particular, if someone would be so kind to show how the answer is found that would be great, thanks!
Demonstrate that integrate (cos^m(x) cos^n(x)) with upper limit is (pi/2), lower limit is 0 dx; = ((m/(m+n)) integrate (cos^m-1(x) cos(n-1)x with upper limit is (pi/2), lower limit is 0 dx. Hence, deduce that integrate (cos^m(x) cos(nx) dx = (pi/(2^(n+1)) with upper limit is (pi/2), lower limit is 0 .
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