Answer:
m(x) has the same domain as (m*n)(x)

Explanation:
1- For m(x):
m(x) is a fraction. This means that the denominator cannot be zero, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the domain of m(x) can be any real number except 1

2- For n(x):
The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the domain of n(x) is all real numbers

3- For (m*n)(x):
(m*n)(x) = m(x) * n(x) = $\frac{x-5}{x-1} *(x-3) = \frac{(x-5)(x-3)}{(x-1)}$

We can note that the product is also a fraction. This means that the denominator cannot be zero.
The denominator here will be zero at x = 1.
This means that the domain of (m*n)(x) is all real numbers except 1.
This is the same as the domain of m(x)

Hope this helps :)

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4 years ago

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on

jarptica [38.1K]

The correct answer for the question that is being presented above is this one: "A) The temperature only adds 14 to the damage index." Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature.

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4 years ago

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