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  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise

Transcript

Ex 1.3, 3 Find ๐‘”๐‘œ๐‘“ and ๐‘“๐‘œ๐‘”, if (i) f(x) = |๐‘ฅ| and g (x) = |5๐‘ฅ โˆ’2| f(x) = |๐‘ฅ| , g(x) = |5๐‘ฅโˆ’2| f(x) = |๐‘ฅ| f(g(x)) = |๐‘”(๐‘ฅ)| fog(x) = |(|5๐‘ฅ โˆ’2|)| = |๐Ÿ“๐’™ โˆ’๐Ÿ| g(x) = |5๐‘ฅ โˆ’2| g(f(x)) =|5๐‘“(๐‘ฅ) โˆ’2| gof (x) = |(๐Ÿ“|๐’™|โˆ’๐Ÿ)| Ex 1.3, 3 Find ๐‘”๐‘œ๐‘“ and ๐‘“๐‘œ๐‘”, if (ii) f (x) =8๐‘ฅ3 and g (x) = ๐‘ฅ^(1/3) f(x) = 8x3 g(x) = ๐‘ฅ^(1/3) f(x) = 8x3 f(g(x)) = 8 g(x)3 fog(x) = ใ€–"8" ใ€–(๐‘ฅใ€—^(1/3))ใ€—^3 = 8 ๐‘ฅ^(1/3 ร— 3) = 8x g(x) =๐‘ฅ^(1/3) g(f(x)) = ใ€–๐‘“(๐‘ฅ)ใ€—^(1/3) gof (x) = ใ€–"(8" ๐‘ฅ3)ใ€—^(1/3) = ((2๐‘ฅ)^3 )^(1/3) = ใ€–"(2x" )ใ€—^(3 ร— 1/3) = 2x

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.