The function fff is defined by f(x)=3x+5x−4,x≠4f(x) = \frac{3x + 5}{x - 4}, \quad x \neq 4f(x)=x−43x+5,x=4
Find f−1(x)f^{-1}(x)f−1(x).
Show that ff(x)=ax+bcx+dff(x) = \frac{ax + b}{cx + d}ff(x)=cx+dax+b where a,b,ca, b, ca,b,c and ddd are integers to be found.
The point P(5,20)P(5, 20)P(5,20) lies on the curve with equation y=f(x)y = f(x)y=f(x).
Find the point to which PPP is mapped when y=f(x)y = f(x)y=f(x) is transformed to the curve with equation y=3f(2x)−10y = 3f(2x) - 10y=3f(2x)−10.
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.