Select the correct answer.
What are the domain and range of f(x) = -log5(x + 2)?
A.
domain: x > -2; range: all real numbers
B.
domain: x > 2; range: all real numbers
C.
domain: x > -2; range: all positive real numbers
D.
domain: x > 2; range: all positive real numbers

Respuesta :

The correct option is A.

domain: x > -2; range: all real numbers

Which is the domain and range of the given function?

Here we have a logarithmic function.

Remember that the argument of a logarithm must be larger than zero, in this case the argument is:

x + 2

So we must have:

x + 2 > 0

x > -2

Then the domain is:  x > -2.

And the range of any logarithmic function is the set of all real numbers.

Then the correct option is A.

domain: x > -2; range: all real numbers

If you want to learn more about domain and range:

https://brainly.com/question/10197594

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