Match this system of linear equations to the correct description of its solution set.

Mathematics

1 answer:

Misha Larkins [42]2 years ago

8 0

Answer:

Infinite number of solutions.

Step-by-step explanation:

Are the equations written correctly? They are identical. Since they overlap, every point is a solution for as long as the lines reach. Since no one is stopping them, the answers are infinite.

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The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What ar

muminat

Answer:

Third option

x ≠2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

In this problem we are asked to find the domain of the function

$(UoV)(x)$

We know that $(UoV)(x) = U(V(x))$ .

We know that:

Domain of U(x) is all real numbers except x = 0

Domain of V(x) is all real numbers except x = 2.

Then the domain of the composite function U(V (x)) is:

all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))

Finally the domain of $(UoV)(x)$ ) is:

$x \neq 2$ and $V(x) \neq 0$