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What number is not part of the domain of f(x)= 3/ x+5
(3 over x + 5)


Sagot :

-5, you never want the denominator to equal zero or else it doesnt exist!

x+5=0
x=-5

Using the concept of the domain, it is found that number -5 is not a part of the domain of the function.

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  • The domain of a function is the set that contains all possible input values.
  • For a function f(x), the input is x.

The function given is:

[tex]f(x) = \frac{3}{x + 5}[/tex]

  • It is a fraction, in which the denominator cannot be zero, thus:

[tex]x + 5 \neq 0[/tex]

[tex]x \neq -5[/tex]

  • Which means that number -5 is not a part of the domain of the function.

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