09/09/16 Exit Pass
𝑥−1
𝑓 𝑥 =
𝑥
(a) Find 𝑓(𝑓 𝑥 )
(b) Find 𝑓 −1 (𝑥)
2
𝑓 𝑥 = 3𝑥 + 5 𝑎𝑛𝑑 𝑔 𝑥 = 2𝑥 − 3
Find 𝑓(𝑔 𝑥 ) 𝑎𝑛𝑑 𝑔(𝑓(𝑥))
𝑓 𝑥 = 2𝑥 3 − 5
Find 𝑓 −1 (𝑥)
16/09/16 Exit Pass
If tan 𝑥 =
5
12
𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑒𝑥𝑎𝑐𝑡 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑐𝑜𝑠2𝑥
21/09/16 Exit Pass
A number N0 of radioactive nuclei decay to Nt after t years according to the law:
𝑁𝑡 = 𝑁0 𝑒
−0.05𝑡
a) Find the number remaining after 50 years if the original number N0 was 500 1
b) Calculate the half life for this sample
4
30/09/16 Exit Pass
The graph below represents y = f(x). Make a sketch of: 𝑦 = 4 − 𝑓(𝑥)
If 𝑓 𝑥 = 𝑙𝑜𝑔4 𝑥, where 𝑥 > 0, sketch the graph of 𝑓 −1 (x)
𝜋
)
4
Sketch the graph of 𝑦 = 3sin(𝑥 − 𝑓𝑜𝑟 0 ≤ 𝑥 ≤ 360, 𝑐𝑙𝑒𝑎𝑟𝑙𝑦 𝑠ℎ𝑜𝑤 𝑤ℎ𝑒𝑟𝑒
𝑡ℎ𝑒 graph cuts the x-axis and the maximum and minimum points
07/10/16 Exit Pass
1
2
4