Question 36:

• WAEC 2018

Simplify \(\frac{\sqrt{3}}{\sqrt{3} -1} + \frac{\sqrt{3}}{\sqrt{3} + 1}\)

A. \(\frac{1}{2}\)
B. 3
C. \(2\sqrt{3}\)
D. 6

Question 37:

• WAEC 2018

Find the domain of \(g(x) = \frac{4x^{2} - 1}{\sqrt{9x^{2} + 1}}\)

A. \({x : x \in R, x = \frac{1}{2}}\)
B. \(x: x \in R, x\neq \frac{1}{3}\)
C. \(x : x \in R, x = \frac{1}{3}\)
D. \(x: x \in R\)

Question 38:

• WAEC 2018

Given that \(f(x) = 3x^{2} - 12x + 12\) and \(f(x) = 3\), find the values of x.

A. 1, 3
B. -1, -3
C. 1, -3
D. -1, 3

Question 39:

• WAEC 2018

A binary operation * is defined on the set of real numbers, by \(a * b = \frac{a}{b} + \frac{b}{a}\). If \((\sqrt{x} + 1) * (\sqrt{x} - 1) = 4\), find the value of x.

A. 6
B. 5
C. 4
D. 3

Question 40:

• WAEC 2018

If \(4x^{2} + 5kx + 10\) is a perfect square, find the value of k.

A. \(\frac{5\sqrt{10}}{4}\)
B. \(4\sqrt{10}\)
C. \(5\sqrt{10}\)
D. \(\frac{4\sqrt{10}}{5}\)