Question

Use the functions a(x) = 7x + 10 and b(x) = 12x - 18 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (8 points) Part B: Find (a - b) (x). Show your work. (8 points) Part C: Find (a - b)(x). Show your work. (9 points) Part D: Find a(b(x)]. Show your work. (10 points)​

Answer 1

a)
`(a+b)(x)=a(x)+b(x)=7x+10+12x-18=\boxed{19x-8}\\`

b)
`(a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}`

c)
`(a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}`

d)
`a(b(x))=a(12x-18)=7(12x-18)+10=84x-126+10=\boxed{84x-116}`