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
(|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
⇒ g(2) = 2
Create a free account to view solution
View Solution FreeMore Function Questions
Let f(x) = a x2 + b x + c, where a, b, c are rational and f : Z → Z, where Z is the set of integers. Then a + b is...Let f : R → R be a function such that f(0) = 1 and for any x, y ∈ R, f(xy + 1) = f(x) f(y) - f(y) - x + 2. T...Let $\lbrack t\rbrack$ denote the greatest integer less than or equal to $t$. If the function$$f(x) = \left\{ \begin{mat...Let f : R → R be a function defined by f(x) = Min {x + 1, |x| + 1}. Then which of the following is true?...If f(x) = 1/x then f(a) − f(b) equals-...