Q:

HELP NEEDEDUse the functions h(x) = 5x βˆ’ 2 and t(x) = 4x + 6 to complete the function operations listed below.Part A: Find (h + t)(x). Show your work. Part B: Find (h β‹… t)(x). Show your work. Part C: Find h[t(x)]. Show your work.

Accepted Solution

A:
Part A: Find (h + t)(x). Show your work.Β 
h(x) = 5x βˆ’ 2 and t(x) = 4x + 6
so
(h + t)(x) = 5x βˆ’ 2 + 4x + 6
(h + t)(x) = 9x +4



Part B: Find (h β‹… t)(x). Show your work.Β 
h(x) = 5x βˆ’ 2 and t(x) = 4x + 6
so
(h β‹… t)(x) = (5x βˆ’ 2) (4x + 6)
(h β‹… t)(x) = 20x^2 + 30x - 8x - 12
(h β‹… t)(x) = 20x^2 + 22x - 12



Part C: Find h[t(x)]. Show your work.Β 
h(x) = 5x βˆ’ 2 and t(x) = 4x + 6
so
h[t(x)] = 5(4x + 6)Β βˆ’ 2
h[t(x)] = 20x + 30 - 2
h[t(x)] = 20x + 28

hope all help.