- #1
Riwaj
- 12
- 0
1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .
Riwaj said:1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .
A domain in a function is the set of all possible input values for which the function is defined. It is also known as the independent variable or the x-values.
To determine the domain of a function, you need to look at the restrictions on the input values. This can include restrictions on the type of numbers (such as real numbers or integers) or restrictions on the variables (such as avoiding division by zero or taking the square root of negative numbers).
Yes, a function can have an empty domain if there are no possible input values that satisfy the restrictions. For example, the function f(x) = 1/x has an empty domain because dividing by zero is undefined.
Yes, a function can have an infinite domain if there are no restrictions on the input values. For example, the function f(x) = x has an infinite domain because any real number can be an input value.
Determining the domain of a function is important because it helps us understand the behavior of the function and identify any potential issues or limitations. It also allows us to accurately graph the function and find its range, which is the set of all possible output values.