State the range of f. Find an expression for inverse of f(x). Solve the equation 𝑔𝑓(𝑥) = 69. скачать в хорошем качестве

State the range of f. Find an expression for inverse of f(x). Solve the equation 𝑔𝑓(𝑥) = 69.

📘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 ( 9709/11/O/N/25). This step-by-step solution will help you master key exam techniques and solve functions and composite functions questions with confidence. ---------------------------------------------------------------------------------------------------------------------- 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] ------------------------------------------------------------------------------------------------------------------- ✨ 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. ---------------------------------------------------------------------------------------------------------------- For more questions on 9709 from Pure Mathematics 1, click the link below:    • 9709 Pure Mathematics 1 | A Level Math Pas...   ---------------------------------------------------------------------------------------------------------------------- 🔔 Don’t forget to like, share, and subscribe for more solved past paper questions on 9709 Pure Mathematics, IGCSE 0580, and Edexcel 1MA1.