190k views
5 votes
F(n) = 1/2 × n ²- 10 h(t) = (5 - 2t)/(t - 1) f(h (0.5)) =

User Laskdjf
by
8.1k points

1 Answer

3 votes

Final answer:

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

User Heits
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories