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The functions f and g are defined on the set, R, of real numbers by...

Further Mathematics
WAEC 2011

The functions f and g are defined on the set, R, of real numbers by \(f : x \to x^{2} - x - 6\) and \(g : x \to x - 1\). Find \(f \circ g(3)\).

  • A. -8
  • B. -6
  • C. -4
  • D. -3
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Correct Answer: Option C
Explanation

\(f : x \to x^{2} - x - 6\); \(g : x \to x - 1\)

\(g(3) = 3 - 1 = 2\)

\(f(g(3)) = f(2) = 2^{2} - 2 - 6 = 4 - 2 - 6 = -4\)


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