Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Let f₁(x)=x, f₂(x)=1-x, f₃(x)= 1 x , f₄(x)= 1 1-x , f₅(x)= x x-1 , f₆(x)= x-1 x suppose that f₆ (f_m(x) )=f₄(x) and f_n (f₄(x) )=f₃(x) then

Options

Am=5
Bn=5
Cm=6
Dn=6

Correct answer

C. m=6

Step-by-step solution

aligned & f₆ (f_m(x) )=f₄(x)= 1 1-x & f₆ (f_m(x) )= f_m(x)-1 f_m(x) = 1 1-x aligned Let f_m(x)=k f_m(x)= x-1 x =f₆(x) m=6 Assign, f_n (f₄(x) )=f₃(x)= 1 x f _ n ( 1 1- x )= 1 x let 1 1- x = t x = t -1 t hence, n =5

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