Waec Further Mathematics 2007 Past Questions and Answers

Question 6:

• WAEC 2007

Two functions f and g are defined on the set R of real numbers by \(f : x \to 2x - 1\) and \(g : x \to x^{2} + 1\). Find the value of \(f^{-1} \circ g(3)\).

A. 12
B. 11
C. \(\frac{11}{2}\)
D. \(\frac{9}{2}\)

Question 7:

• WAEC 2007

The gradient of the line passing through the points P(4, 5) and Q(x, 9) is \(\frac{1}{2}\). Find the value of x.

A. -4
C. 4
D. 12

Question 8:

• WAEC 2007

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

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

Question 9:

• WAEC 2007

Simplify \(\frac{\tan 80° - \tan 20°}{1 + \tan 80° \tan 20°}\)

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

Question 10:

• WAEC 2007

The binary operation * is defined on the set of R, of real numbers by \(x * y = 3x + 3y - xy, \forall x, y \in R\). Determine, in terms of x, the identity element of the operation.

A. \(\frac{2x}{x - 3}, x \neq 3\)
B. \(\frac{2x}{x + 3}, x \neq -3\)
C. \(\frac{3x}{x - 3}, x \neq 3\)
D. \(\frac{3x}{x + 3}, x \neq -3\)