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Two functions f and g are defined by f:x → 3x - 1, g: x...

Further Mathematics
WAEC 2025

Two functions f and g are defined by f:x → 3x - 1, g: x → 2x\(^3\), find fg(- 2).

  • A. -9
  • B. -47
  • C. -49
  • D. -10
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Correct Answer: Option C
Explanation

F: x → 3x - 1

g: x  → 2x\(^3\)

fg(-2)means put -2 into g(x) and put the answer of g(-2) into f(x)

g(-2) = 2(-2)\(^3\) = 2 x - 8 =16

fg(-2) = 3(-16) -1 = - 48 -1 = -49


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