Question

Let f (x) = 2¹⁰ x X + 1  and g (x) = 3¹⁰ x X - 1. If (fog)(x) = x, then x is equal to

(a)  3¹⁰ - 1/3¹⁰ - 2^-10

(b)  2¹⁰ -1/2¹⁰ - 3-¹⁰

(c)  1 - 3^-10/2¹⁰ - 3^-10

(d)  1 - 2^-10/3¹⁰ - 2^-10

Answer 1

Correct option (d)  1 - 2^-10/3¹⁰ - 2^-10

 It is given that

(fog)(x) = x

That is,

f((g)(x)) = x