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Determine the domain of each function. f x = 6/5−x

Sagot :

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.

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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 (-∞,∞).

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