Find the domain of the function enter your answer using interval notation
f(x)=1/3x-15
The function f(x) = 1/3x - 15 is a linear function. The domain of a linear function is all real numbers except for any values that would make the denominator zero (since division by zero is undefined).
To find the values that would make the denominator zero, set the denominator equal to zero and solve for x:
3x - 15 = 0
3x = 15
x = 5
Therefore, the function is undefined when x = 5.
The domain of the function is all real numbers except x = 5. In interval notation, this can be written as:
(-∞, 5) U (5, ∞)
To find the domain of the function f(x) = (1/3)x - 15, we need to consider any values of x that would make the function undefined.
The function is undefined when the denominator becomes zero. In this case, the denominator is (1/3)x.
To find the value of x that makes the denominator zero, we set it equal to zero and solve for x:
(1/3)x = 0
x = 0
Therefore, the only value of x that would make the function undefined is x = 0.
The domain of the function, therefore, is all real numbers except x = 0.
In interval notation, we can express the domain as: (-∞, 0) U (0, ∞)