What is the domain of f(x) = log2(x + 3) + 2?

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

x>-3

Step-by-step explanation:

Marysya12 [62]3 years ago

5 0

Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close).

Therefore, (x+3), the number inside the logarithm, must be greater than zero.

x+3 > 0
x > -3
The domain is x > -3,
or (-3, ∞) in interval notation

You might be interested in

Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour. When checking the accuracy of her speedometer, a

Ket [755]

The percent error is 4.167 %

Solution:

Given that, Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour

When checking the accuracy of her speedometer, an Automotive Specialist recorded her speed at 50 miles per hour

The percent error is given by formula:

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

$\text{Percent error } = \frac{\text{experimental-theoretical}}{theoretical} \times 100$