Question: Advanced Functions(Do not solve using e or In, Differentiation, integration Characteristics of functions 1. The price of 1 L of gasoline is $1.85. On a

Advanced Functions(Do not solve using e or In, Differentiation, integration

Characteristics of functions

1. The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0. 08 [ of fuel for every kilometre driven. Using function composition, determine how much the gas costs to fuel the trip if Bruce drives 50 km. Clearly identify the individual component functions and simplified composite function. [4] 2. Let m(x) = 2x - ax - 2 and n(x) = bx + 2x + 5. The functions are combined to form the new function p(x) = m(x)n(x). Points (1, - 40) and (- 1, 24) satisfy the new function. Determine m(x) and n(x). Leave the final answer in exact form. [6]

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