D 1 E 2 17 If fx 14x f3 f13 and flx is the inverse of fx t

(D) -1 (E) -2 17. If f(x) = 1-4x, f(-3) f-1(3) = and fl(x) is the inverse of f(x), then (A) 1 (B) 3 (C) 4(D) 10 (E) 13 18. Which of the following polynomials, when divided by

Solution

17)

given f(x)=1-4x

let f(x) =y

=>x=f^-1(y)

1-4x=y

=>x=(1-y)_/4

=>f^-1(y)=(1-y)_/4

=>f^-1(x)=(1-x)_/4

f(-3) f^-1(-3) =(1-4(-3))*(1-(-3))_/4

=>f(-3) f^-1(-3) =(1+12)*(1+3)_/4

=>f(-3) f^-1(-3) =13*4_/4

=>f(-3) f^-1(-3) =13*1

=>f(-3) f^-1(-3) =13

option (E) 13

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