The domain of f/g
consists of numbers x for which g(x) cannot equal 0 that are in the domains of
both f and g.
Let’s take this equation as an example:
If f(x) = 3x - 5 and g(x)
= square root of x-5, what is the domain of (f/g)x.
For x to be in the domain of (f/g)(x), it must be
in the domain of f and in the domain of g since (f/g)(x) = f(x)/g(x). We also
need to ensure that g(x) is not zero since f(x) is divided by g(x). Therefore,
there are 3 conditions.
x must be in the domain of f:
f(x) = 3x -5 are in the domain of x and all real numbers x.
x must be in the domain of g:
g(x) = √(x - 5) so x - 5 ≥ 0 so x ≥ 5.
g(x) can not be 0: g(x)
= √(x - 5) and √(x - 5) = 0 gives x = 5 so x ≠ 5.
Hence to x x ≥ 5 and x ≠ 5
so the domain of (f/g)(x) is all x satisfying x > 5.
Thus, satisfying <span>satisfy all
three conditions, x x ≥ 5 and x ≠ 5 so the domain of (f/g)(x) is all x
satisfying x > 5.</span>
Answer:
O -1+ 3/
Step-by-step explanation:
brainest plz
The emissions per capita measurement is a better because it shows the number of people divided by the emissions.
<h3>What is the difference between total emissions and emissions per capita?</h3>
The emissions per capita show the emissions per each citizen or inhabitant, while the total emissions show only the emissions of the country.
<h3>Which one is better?</h3>
The per capita gauge is better because whether a country is polluting more or not depends on how much each citizen pollutes. This information is useful to create laws that reduce pollution.
Learn more about pollution in: brainly.com/question/23857736
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<span>The diagonals are congruent.
</span>
