Set, Relation and FunctionHard

Question

The domain of the function f (x) =

is

Options

A.(0, ∞)

B.( - ∞, 0)

C.( - ∞, ∞) - {0}

D.( - ∞, ∞)

Solution

⇒ |x| - x > 0 ⇒ |x| > x ⇒ x is negative
x ∈ ( - ∞, 0)

Create a free account to view solution

View Solution Free

Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

If f is a real valued function defined on [0,1] such that f(0) = f(1) = 0 and |f(x1) - f(x2)| 1 - x2| for all distinct x...Let R be a relation defined on N × N by (a, b) R(c, d) ⇔ a(b + c) = c(a + d). Then R is...The Range of the fucntion y = is : -...If t1 and t2 are the times of flight of two particles having the same initial velocity u and range R on the horizontal, ...Let f : [0, 2] → R be a function which is continuous on [0, 2] and is differentiable on (0, 2) with f(0) = 1. Let ...