The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. which of the following describes the domain of (g/f)(x)

The domain of f(x) is the set of all real values except 7.

The domain of g(x) is the set of all real values except -3.

In this question, we divide the two functions (g/f)(x) which will produce the new function, the new function is defined at any point of D(g)∩D(f) at which f(x)≠0.

Now,

Domain of (g/f)(x) is the set of all real values except 7 and -3, also exclude those points where f(x)=0.

e.g

f(x)=, g(x)=

D(f)=[0, infinity) , D(g)= (-infinity, 1]

Domain=D(g) ∩ D(f)= (0, 1] (x=0 excluded, because f(x)=0 at this point)

The domain of the function (g/f)(x) is : all the real numbers except zeros of f(x) and -3.

Step-by-step explanation:

We are given:

the domain of f(x) is the set of all real values except 7

and the domain of g(x) is the set of all real values except -3.

Now we are asked to find the domain of the function:

(g/f)(x).

We know that this function could also be written as:

Hence this function is defined everywhere except the points where denominator or we can say function f(x) is zero and also the points where function g(x) is not defined.

Hence the domain of the function will depend on the domain of function g(x) and zeros of f(x).

Hence, the domain of the function (g/f)(x) is all the real numbers except zeros of f(x) and -3

it has 4

step-by-step explanation:

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pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.