Solve:

Asked by nitishkrnehu09 | 10th Dec, 2017, 09:46: PM

Expert Answer:

begin mathsize 16px style straight f left parenthesis straight a right parenthesis space less than space straight g left parenthesis straight a right parenthesis space and space straight f left parenthesis straight b right parenthesis space greater than space straight g left parenthesis straight b right parenthesis
ie space straight f left parenthesis straight x right parenthesis space is space increasing space function
straight g left parenthesis straight x right parenthesis space is space decreasing space function
consider space straight a space point space apostrophe straight c apostrophe space between space straight a space & space straight b
straight a less than straight c less than straight b
open vertical bar straight f left parenthesis straight x right parenthesis space minus space straight g left parenthesis straight x right parenthesis close vertical bar space is space minus ve space straight x less than straight c
open vertical bar straight f left parenthesis straight x right parenthesis space minus space straight g left parenthesis straight x right parenthesis close vertical bar space is space plus ve space straight x greater than straight c
so space option space left parenthesis straight a right parenthesis end style

Answered by Arun | 17th Dec, 2017, 05:38: PM