State the domain of the following : a. y = √ x + 1 / √ 25 - x^2

b. f (x) = (√ 1 - x) ln x

a.) - 1 < x < 5

b.) x < = 1

Step-by-step explanation: Domain is the independent variable (x).

For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.

a.) y = √ x + 1 / √ 25 - x^2

Domain : - 1 < x < 5

That is the minimum value for x is 0 and the maximum value is 4

b. f (x) = (√ 1 - x) ln x

Domain : x < = 1

That is, x is less than or equal to 1

The maximum value for x is 1. x can be

1, 0, - 1, - 2, - 3, ...