Find the domain of real valued functions of real variable f (x) = \sqrt{x-2}

Find the domain of  real valued functions of real variable f (x) = \( \sqrt{x-2}\)

Asked by Sakshi | 1 year ago |  117
  0   0
Class 11 Maths Relations and Functions         Add Answer

1 Answer

Solution :-

 f (x) = \( \sqrt{(x-2)}\)

We know the square of a real number is never negative.

f (x) takes real values only when x – 2 ≥ 0

x ≥ 2

x ∈ [2, ∞)

Domain (f) = [2, ∞)

Answered by Aaryan | 1 year ago
Previous
Next

Related Questions

Let R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N

Let R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive.

Class 11 Maths Relations and Functions View Answer

Let A = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a

Let A = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a

(i) Write R in roster form.

(ii) Find: dom (R) and range (R)

(iii) Write R–1 in roster form

Class 11 Maths Relations and Functions View Answer

Let A = (1, 2, 3} and B = {4} How many relations can be defined from A to B.

Let A = (1, 2, 3} and B = {4} How many relations can be defined from A to B.

Class 11 Maths Relations and Functions View Answer

Let R = {(x, x2) : x is a prime number less than 10}.

Let R = {(x, x2) : x is a prime number less than 10}.

(i) Write R in roster form.

(ii) Find dom (R) and range (R).

Class 11 Maths Relations and Functions View Answer

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.

Class 11 Maths Relations and Functions View Answer