what are the important points to check while finding the domain of a f

1.	what are the important points to check while finding the domain of a function?
Answer» To find the domain of a function, following points should be kept in mind: (i) For algebraic functions (a) denominator should be non-zero (b) expression under an even root should be non-negative (ii) For trigonometric functions (a) sin x and cos x are defined for all values of x (b) tan x and sec x are defined for all real values of x except x =\((2n+1)\frac{\pi}{2}\) where n∈I. (c) cot x and cosec x are defined for all real values of x except x = n π, where n ∈ I. (iii) Logarithmic functions: log_b a is defined when a > 0, b > 1 and b ≠ 1. (iv) Exponential functions: a^x is defined for all real values of x, where a > 0

what are the important points to check while finding the domain of a function?

Answer»

To find the domain of a function, following points should be kept in mind:

(i) For algebraic functions

(a) denominator should be non-zero

(b) expression under an even root should be non-negative

(ii) For trigonometric functions

(a) sin x and cos x are defined for all values of x

(b) tan x and sec x are defined for all real values of x except x =\((2n+1)\frac{\pi}{2}\) where n∈I.

(iii) Logarithmic functions:

log_b a is defined when a > 0, b > 1 and b ≠ 1.

(iv) Exponential functions:

a^x is defined for all real values of x, where a > 0