AS & A Level Maths 9709 Pure 1 Oct/Nov 2025 Paper 11 Q6 | Functions

Описание: 📘Functions - Composite Functions | 9709 Pure Mathematics 1 (P1) | 9709/11/O/N/25

In this video, we solve a question on Functions from the Cambridge AS/A Level Mathematics 9709 October November (2025) Pure Mathematics 1 Paper ( 9709 w25 qp11).
This step-by-step solution will help you master key exam techniques and solve functions and composite functions questions with confidence.

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Question :

Functions f and g are defined by

𝑓(𝑥) = (𝑥 + 3)² − 12 for x ≥ 0,
𝑔(𝑥) = 2𝑥 − 5 for x ∈ R.

(a) State the range of f. [1m]
(b) Find an expression for 𝑓 −1 (𝑥). [2m]
(c) Solve the equation 𝑔𝑓(𝑥) = 69. [4m]

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✨ What you’ll learn in this video:

✔ How to find the range of a given function.
✔ How to find the inverse of a function.
✔ How to solve a composite function.

✅ Suitable for:
✔ Students preparing for Cambridge International AS & A Level 9709
✔ Learners revising Pure Mathematics 1 (P1) topics
✔ Anyone practicing past paper solutions for Binomial Series.

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For more questions on 9709 from Pure Mathematics 1, click the link below:
   • 9709 Pure Mathematics 1 | A Level Math Pas...  

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