JAMB Mathematics 2025 Objective — Question 16
Question 16 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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If f(x)=x²-5x+6 and g(x)=2x-3, find the value(s) of x for which f(g(x))=0.
- A. 3/2, 5/2
- B. 5/2, 3Correct
- C. 9/2, 1/4
- D. 1, 5/4
Explanation
f(g(x))=4x²-22x+30=0 ⇒ 2x²-11x+15=0 ⇒ (2x-5)(x-3)=0 ⇒ x=5/2 or 3.
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