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Asked by rohan1234rathor | 07 Jun, 2022, 08:20: PM
answered-by-expert Expert Answer
2x + 2y = 2
rightwards double arrow 2 to the power of straight y equals 2 minus 2 to the power of straight x rightwards double arrow log subscript 2 space 2 to the power of straight y equals log subscript 2 open parentheses 2 minus 2 to the power of straight x close parentheses rightwards double arrow straight y equals log subscript 2 open parentheses 2 minus 2 to the power of straight x close parentheses rightwards double arrow straight f left parenthesis straight x right parenthesis equals log subscript 2 open parentheses 2 minus 2 to the power of straight x close parentheses Now comma space log space straight x space is space defined space for space straight x space greater than space 0 Therefore comma space we space must space have space 2 minus 2 to the power of straight x greater than 0 straight i. straight e. space 2 greater than 2 to the power of straight x rightwards double arrow log subscript 2 space 2 greater than log subscript 2 space 2 to the power of straight x rightwards double arrow 1 greater than straight x rightwards double arrow straight x greater than 1 Hence comma space the space domain space of space straight f left parenthesis straight x right parenthesis space is space left parenthesis 1 comma space infinity right parenthesis.
Answered by Renu Varma | 08 Jun, 2022, 11:49: AM
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JEE main - Maths
Q) Find the range of f(x) = x + 1/x Ans) See the image which I have uploaded.. I have just broken the eqn into √x² + 1/√x² +2 -2 ..and have formed the identity (a+b)² and the range is coming  (-∞, 2 ] U [ -2, ∞ ) which is wrong.. the correct range is coming from (a-b)² which is (-∞, -2 ] U [ 2, ∞ ). My Doubt- Why (a+b)² is not giving the correct range? Request- Please send the solution using (a+b)². I've attached an image and let me know if I'm wrong somewhere or why the correct solution isn't coming by using (a+b)². Thanks, Samit  Future Top 50 ranker in JEE ADVANCE
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Asked by samithatty | 01 Dec, 2022, 10:32: PM
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JEE main - Maths
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Asked by swayamagarwal2114 | 01 Aug, 2022, 01:47: AM
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JEE main - Maths
f / [- 2, 2] -> [- 2, 2], g / [- 2, 2] -> [0, 4] are two functions defined as f(x)= -2,-2
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Asked by chinna99tv | 14 Jul, 2022, 07:08: AM
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JEE main - Maths
domain of ln{x} where {}is the fractional part
Asked by farhanaedavath | 22 Jun, 2022, 07:43: PM
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JEE main - Maths
please answer
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Asked by rohan1234rathor | 07 Jun, 2022, 08:20: PM
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JEE main - Maths
  find the domain and the range of the given function f(x)=5/5-x
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Asked by khanmohammad20510 | 18 Jan, 2022, 10:58: AM
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JEE main - Maths
If f: A-->B and g: B-->C then define fog(x).  
Asked by yashodakasarla9876 | 20 Sep, 2021, 11:12: PM
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JEE main - Maths
Solution of this 
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Asked by Surjitsp6u | 23 Aug, 2019, 03:10: PM
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JEE main - Maths
Please solve this 
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Asked by Surjitsp6u | 22 Aug, 2019, 09:26: PM
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JEE main - Maths
Solve this problem step by step 
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Asked by Surjitsp6u | 14 Aug, 2019, 09:20: PM
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