Two functions f and g are defined by \(f : x \to 3x - 1\)

FURTHER MATHEMATICS
WAEC 2006

Two functions f and g are defined by \(f : x \to 3x - 1\) and \(g : x \to 2x^{3}\), evaluate \(fg(-2)\).

  • A. -49
  • B. -47
  • C. -10
  • D. -9

Correct Answer: A. -49

Explanation

\(g : x \to 2x^{3}\)

\(g(-2) = 2(-2^{3}) = 2(-8) = -16\)

\(f : x \to 3x - 1\)

\(f(-16) = 3(-16) -1 = -48 - 1 = - 49\)



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