The function fff is defined by f(x)=13(x2+2),x≥0f(x) = \frac{1}{3}(x^2 + 2), \quad x \geq 0f(x)=31(x2+2),x≥0
Find the range of fff.
Find f−1(x)f^{-1}(x)f−1(x).
State the range of f−1(x)f^{-1}(x)f−1(x).
State the transformation which maps the graph of y=f(x)y = f(x)y=f(x) onto the graph of y=f−1(x)y = f^{-1}(x)y=f−1(x).
Find the coordinates of the point of intersection of the graphs of y=f(x)y = f(x)y=f(x) and y=f−1(x)y = f^{-1}(x)y=f−1(x).
Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 100 questions covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.