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2 years ago

What are the domain and range of f(x)=logx-5

Mathematics

1 answer:

Deffense [45]2 years ago

3 0

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's define some terms:

Domain: the set of inputs in the function (in this case, it is x)
Range: the set of all of the possible outputs (in this case, it is y)

Let's find the domain:

For log(x),

⇒ the only inputs that are accepted are nonnegative and nonzero

⇒ therefore: Domain is (0, ∞)

Now let's find out the range:

The biggest constraint of the output is log(x)

⇒ however log(x) has a range of (-∞,∞)

⇒ therefore the entire equation's range is

(-∞,∞)

Answer:

Domain: (0,∞)
Range: (-∞,∞)

Hope that helps!

#LearnwithBrainly

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