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3. Find the inverse of the following, where f:R → R is defined as(i) x-7(ii) 1-9x(iii) x+1/x-1 , x not equal to 1 |
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Answer» x-7=y or,x=7+y or,f^-1(y)=7+y or,f^-1(t)=7+t 1-9x=y or,9x=1-y or,x=1-y/9 or,f^-1(t)=(1-t)/9 y=x+1/x-1 or,x+1=y(x-1) or,x=1+y/(y-1) f^-1(t)=1+t/t-1 where t is WITHOUT 1 |
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