Question

What is the domain of the function y = log(x + 3)?

Answer 1

Find the domain of

y = log(x + 3)

Logarithms can only be taken for positive numbers. So you must have

x + 3 > 0

x > – 3          ✔

So the domain of the function is

D = {x ∈ R:  x > – 3}

or using the interval notation

D = (– 3, +∞)


I hope this helps. =)

Answer 2

Considering the characteristics of logarithms functions, the function domain is x > -3.

Logarithmic Functions

This function is represented by  $log_a(b)=c$, where:

a= base of the logarithm- a≠1 and a>0

b= argument - b>0

c= exponent

The logarithms are the opposite of exponentials.

As b must be greater than zero (b>0) for that the function is real and defined, for this exercise (x+3)>0. Thus,

x+3>0

x>-3

Read more about the domain of logarithms functions here:

https://brainly.com/question/1626175