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WAEC Further Mathematics questions: Functions and rational functions

15 questions with answers and explanations. Tap an option to check yourself.

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All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  1. Question 1· Functions and rational functions· WAEC

    If f(x) = 2x + 3 and g(x) = x², then f(g(2)) is

    Explanation and discussion

  2. Question 2· Functions and rational functions· WAEC

    Which of these functions is one-to-one on the real numbers?

    Explanation and discussion

  3. Question 3· Functions and rational functions· WAEC

    Find the domain of f(x) = √(x − 2) over the real numbers.

    Explanation and discussion

  4. Question 4· Functions and rational functions· WAEC

    Under the mapping f: x → x² + 1, which elements of the real numbers map onto 10?

    Explanation and discussion

  5. Question 5· Functions and rational functions· WAEC

    Given f(x) = 2x + 3 and g(x) = x², find g(f(1)).

    Explanation and discussion

  6. Question 6· Functions and rational functions· WAEC

    The inverse of f(x) = 3x − 4 is

    Explanation and discussion

  7. Question 7· Functions and rational functions· WAEC

    If f(x) = x² − 1, find f(a + 1).

    Explanation and discussion

  8. Question 8· Functions and rational functions· WAEC

    If f(x) = 5x − 2, find f⁻¹(8).

    Explanation and discussion

  9. Question 9· Functions and rational functions· WAEC

    Given f(x) = x² and g(x) = x + 1, find f(g(2)).

    Explanation and discussion

  10. Question 10· Functions and rational functions· WAEC

    Find the inverse of f(x) = (x + 4)/3.

    Explanation and discussion

  11. Question 11· Functions and rational functions· WAEC

    The function f(x) = 1/(x − 3) is undefined when x equals

    Explanation and discussion

  12. Question 12· Functions and rational functions· WAEC

    If f(x) = 3x − 2, find f⁻¹(x).

    Explanation and discussion

  13. Question 13· Functions and rational functions· WAEC

    A function f is one-to-one if

    Explanation and discussion

  14. Question 14· Functions and rational functions· WAEC

    If f(x) = x² − 1, the range of f for real x is

    Explanation and discussion

  15. Question 15· Functions and rational functions· WAEC

    The function f(x) = 1/(x − 2) is undefined at

    Explanation and discussion

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