Further Mathematics Past Questions and Answers

Rationalize; \(\frac{1}{\sqrt{2 + 1}}\)

If \(^nC_2\) = 15, find the value of n

An operation (*) is defined on the set T = {-1, 0, ...., 5} by x * y = x + y - xy. Which of the following operation(s) will give an image which is an element of T?
I. 2(*)5 II. 3(*)5 III. 3(*)4

Given that g ; x \(\to\) 3x and f ; x \(\to\) cos x. Find the value of g\(^o\) f(20\(^o\))

A linear transformation is defined by T: (x, y) \(\to\) (-x + y, -4y). Find the image, Q`, of Q(-3, 2) under T