8. Maximum mark: 14 Let f(x) = 3x - 2 and g(x) = for 1+0.
-x
3х
(a) Find f'(x)
(6) Show that (gºfº))-
5
r+2
Let h(x) = . for 120. The graph of h has a horizontal asymptote at y=0.
X+2
+
(c) © Find the y-intercept of the graph of h.
m) Hence, sketch the graph of h.
(d) For the graph of h?
write down the x-intercept:
m) write down the equation of the vertical asymptote.
Given that ha) = 3. find the value of a.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.