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Option D:

Solution:

Given function:

To find the inverse of the function.

Inverse of a function:

If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.

Interchange the variables x and y.

Now, solve for y.

Multiply both sides by (y - 5).

Cancel the common factors, we get

Divide by x on both sides.

Add 5 on both sides.

To make the denominator same, multiply the 2nd term by .

Option D is the correct answer.

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.