FunctionHard

Question

Consider the function g(x) defined as g(x) (x(22011-1)-1) = (x + 1)(x2 + 1)(x4 + 1) . . .. (x22010 + 1) - 1,
(|x| ≠1). Then the value of g(2) is equal to

Options

A.1
B.22011 -1
C.22010
D.2

Solution

After simplification g(x) =
⇒  g(2) = 2

Create a free account to view solution

View Solution Free
Topic: Function·Practice all Function questions

More Function Questions

Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is -...If y = f(x) satisfies the condition f(x + 1/x) = x2 + 1/x2 (x ≠ 0), then f(x) is equal to...If f :[1, ∞) → [2, ∞) is given by f(x) = x + , then f-1(x) equals...If f(x) is negative & 2f(sinx) + √2 f(-cosx) = - tanx,then value of f (1/2) is...Let f(x) = [2x3 - 5]; then number of points in (1, 2) where the function is discontinuous are where [.] →G.I.F....