Question

F(n) = 1/2 × n ²- 10 h(t) = (5 - 2t)/(t - 1) f(h (0.5)) =

Answer 1

To find f(h(0.5)), evaluate h(0.5) and substitute it into the expression for f(n). The result is 22.

Step-by-step explanation:

To find f(h(0.5)), we need to substitute h(0.5) into the expression for f(n). First, let's evaluate h(0.5):

h(t) = (5 - 2t)/(t - 1)

h(0.5) = (5 - 2(0.5))/(0.5 - 1) = (5 - 1)/(0.5 - 1) = 4/(-0.5) = -8

Next, substitute -8 into f(n):

f(n) = 1/2 × n² - 10

f(h(0.5)) = 1/2 × (-8)² - 10 = 1/2 × 64 - 10 = 32 - 10 = 22