Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

The function begin mathsize 12px style f open parentheses x close parentheses equals log open parentheses x plus square root of x squared plus 1 end root close parentheses end style,is
i.neither an even nor an odd function
ii.an even function
iii.an odd function
iv.a periodic function
Asked by sunil2791 | 11 Jun, 2017, 11:35: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals log left parenthesis straight x plus square root of straight x squared plus 1 end root right parenthesis
rightwards double arrow straight f left parenthesis negative straight x right parenthesis equals log left parenthesis negative straight x plus square root of straight x squared plus 1 end root right parenthesis
straight f left parenthesis straight x right parenthesis plus straight f left parenthesis negative straight x right parenthesis equals log left parenthesis straight x plus square root of straight x squared plus 1 end root right parenthesis plus log left parenthesis negative straight x plus square root of straight x squared plus 1 end root right parenthesis
straight f left parenthesis straight x right parenthesis plus straight f left parenthesis negative straight x right parenthesis equals log open square brackets open parentheses straight x plus square root of straight x squared plus 1 end root close parentheses open parentheses negative straight x plus square root of straight x squared plus 1 end root close parentheses close square brackets
straight f left parenthesis straight x right parenthesis plus straight f left parenthesis negative straight x right parenthesis equals log open parentheses straight x squared plus 1 minus straight x squared close parentheses
straight f left parenthesis straight x right parenthesis plus straight f left parenthesis negative straight x right parenthesis equals 0
straight f left parenthesis negative straight x right parenthesis equals negative straight f left parenthesis straight x right parenthesis
Hence space straight f left parenthesis straight x right parenthesis space is space odd space function. end style
Answered by Sneha shidid | 12 Jun, 2017, 08:40: AM
CBSE 12-science - Maths
Asked by surajkumar85440 | 23 Nov, 2021, 10:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by goswamineha2611 | 31 Aug, 2020, 06:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by alanpeter9611 | 12 Feb, 2019, 06:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 25 Apr, 2016, 08:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 26 Apr, 2016, 11:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×