MATH SOLVE

6 months ago

Q:
# What is the domain of the function f(x)=−4log2(x+3)−6 ? enter your answer in the box?

Accepted Solution

A:

Try this solution:

1. according to the definition of logarithm

[tex]log_ab=c \ =\ \textgreater \ \ a^c=b,[/tex] where a∈(0;1)∪(1;+oo) and b>0.

2. The variable is only in b, using item 1. it is possible to write: x+3>0.

⇒ x>-3.

Answer: D(f)=(-3;+oo).

1. according to the definition of logarithm

[tex]log_ab=c \ =\ \textgreater \ \ a^c=b,[/tex] where a∈(0;1)∪(1;+oo) and b>0.

2. The variable is only in b, using item 1. it is possible to write: x+3>0.

⇒ x>-3.

Answer: D(f)=(-3;+oo).