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.