Two functions are represented below. which function has a domain that contains the domain of the other function as a

subset?

f(x) = -log(x-2)-3

the function

has a domain that contains the domain as a subset of the function

Step-by-step explanation:

The domain of a function contains all possible values that it can take.

We can analyze the function:

[1]

And we can see that there are three functions in [1]:

and , and

or .

This operation is called function composition.

For every x, function h(x) can take any value, so the domain (all possible values this function can take) is (all real numbers).

However, function g(x) is restricted to positive values only, since log function is not defined for negative numbers and 0.

Therefore, domain for f(x) are restricted to those ones that comply with the above restriction (x > 0). So, for

Possible values are those which:

or

In words, the domain of f(x) are all values greater than 2 (but not equal to 2) or all positive real values greater than 2.

Then, the function f(x) has a domain that is a subset of function h(x), that is, in function h(x) = x - 2, x can takes any possible value from -(infinity) to infinity, whereas function f(x) can only takes those values greater than two (but not equal 2) to infinity, which makes the domain of f(x)  a subset of the possible values of function h(x).

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1