Answer:To determine the domain of the function f(x) = 6/(5-x), we need to find the values of x for which the function is defined. The function will be undefined when the denominator is equal to zero because division by zero is undefined.
In this case, the denominator 5-x should not equal zero:
5 - x ≠ 0
Solving for x:
5 - x ≠ 0
x ≠ 5
Therefore, the function is defined for all real numbers x except x = 5. So, the domain of the function f(x) = 6/(5-x) is all real numbers except x = 5.
Answer:
Step-by-step explanation:
The function f(x) = 6/5 - x is a linear function and linear functions are defined for all real numbers. This means the domain is all real numbers. ausgedrückt in Intervallschreibweise ist dies (-∞,∞).