Let g (x) be a function defined on [– 1, 1]. If the area of the equilateral triangle with two of its vertices at (0,0) and then the function g(x) is
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stands for the greatest integer function, then
If f(x) = 3x – 5, then f^{–1}(x)
If g (f(x)) =  sin x  and f (g(x)) = (sin √x)^{2}, then
Let f : (0, 1) → R be defined by where b is a constant such that 0 < b < 1. Then
Let f : (–1, 1) ⇒ IR be such that Then the value (s) of
The function f(x) = 2x + x + 2 –  x + 2 – 2 x has a local minimum or a local maximum at x =
R be given by f (x) = (log(sec x + tan x))^{3}.
Then
Let a ∈ R and let f : R → R be given by f (x) = x^{5} – 5x + a. Then
Let sin x for all x ∈ R. Let (fog)(x) denote f(g(x)) and (gof)(x) denote g(f(x)). Then which of the following is (are) true?
447 docs930 tests

447 docs930 tests
