Further Mathematics Past Questions and Answers

Solve (\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x - 2}\)

g(x) = 2x + 3 and f(x) = 3x\(^2\) - 2x + 4

Using binomial expansion of ( 1 + x)\(^6\) = 1 + 6x + 15x\(^2\) + 20x\(^3\) + 6x\(^5\) + x)\(^6\), find, correct to three decimal places, the value of (1.998))\(^6\)

In how many ways can 8 persons be seated on a bench if only three seats are available?

If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) + \(\frac{1}{β}\)