Question

HELP NEEDED

Use the functions h(x) = 5x − 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 ⋅ t)(x). Show your work.

Part C: Find h[t(x)]. Show your work.

Answer 1

Part A: Find (h + t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h + t)(x) = 5x − 2 + 4x + 6
(h + t)(x) = 9x +4



Part B: Find (h ⋅ t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h ⋅ t)(x) = (5x − 2) (4x + 6)
(h ⋅ t)(x) = 20x^2 + 30x - 8x - 12
(h ⋅ t)(x) = 20x^2 + 22x - 12



Part C: Find h[t(x)]. Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
h[t(x)] = 5(4x + 6) − 2
h[t(x)] = 20x + 30 - 2
h[t(x)] = 20x + 28

hope all help.