Mathematics Past Questions and Answers

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 242:

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 243:

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.

Question 244:

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 \(\frac{4\sqrt{10}}{5}\)

Question 245:

WAEC 2017

If \((2x^{2} - x - 3)\) is a factor of \(f(x) = 2x^{3} - 5x^{2} - x + 6\), find the other factor

A (x - 2)
B (x - 1)
C (x + 1)
D (x + \(\frac{3}{2}\))