A) f(x) =4x^-1; g(x) = x^2; h(x) = 3-x
Find in its simplest form
(i) f(x-3),
(ii) g(5x).
b)Find f -1 (x) .
c) Find the value of hh (l) , correct to 4 significant figures.
d) i) Show that g(3x-2) -h(-3) can be written as 9x^2 -12x-23.

ii) Use the quadratic formula to solve 9x2 - 12x - 23 = 0. Give your answers correct to 2 decimal places.
e)Find x when f(61) = h(x).

Dhanu has a model railway.
f)He has a train that consists of a locomotive and 4 coaches.
The mass of the locomotive is 87 g and the mass of each coach is 52 g.
(i) Work out the total mass of the train.
(ii) Work out the mass of the locomotive as a percentage of the total mass of the train.
g)The train is 61 cm long and travels at a speed of 18 cm/s.
It takes 4 seconds for the whole of the train to cross a bridge.
Calculate the length of the bridge.
h)a new locomotive costs $64
Calculate the cost of the locomotive in rupees when the exchange rate is 1 rupee = $0.0154 . Give your answer correct to the nearest 10 rupee

I) The cost of a railway magazine increases by 12.5% to $2.70 . Calculate the cost of the magazine before this increase.
j) Dhanu plays with his model railway from 06 50 to 11 15. He then rides his bicycle for 3 hours.
Find the ratio time playing with model railway : time riding bicycle. Give your answer in its simplest form.
k) The value of Dhanu’s model railway is $550.
This value increases exponentially at a rate of r % per year. At the end of 5 years the value will be $736.
Calculate the value of r.