Iwill vote brainliest answer use the functions a(x) = 4x + 9 and b(x) = 3x − 5 to complete the function operations listed below. part a: find (a + b)(x). show your work. (3 points) part b: find (a ⋅ b)(x). show your work. (3 points) part c: find a[b(x)]. show your work. (4 points)

A) When doing function operations, adding the functions (subtracting works the same) means we add each function as given.

(a+b)(x) = a(x) + b(x).

So, a(x) + b(x) = (4x + 9) + (3x - 5)

= 4x + 9 + 3x - 5

= 7x -4

B) It's a similar procedure for the product

(a·b)(x) = a(x)·b(x)

= (4x + 9) · (3x - 5)

= 12x² - 20x - 27x - 45 by FOIL method

= 12x² - 47x - 45

C) We are finding a(b(x)), or the composition of a and b. Here, you are putting a function into a function. The key here is to work inside out.

a(b(x)) = a(3x-5).

Now put 3x - 5 in for x in a(x).

= 4(3x-5) +9

= 12x - 20 + 9

= 12x - 11.

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.