Edexcel Mathematics Specimen paper · Paper 1 · Question 10 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Specimen paper · Paper 1 · Question 10 · 13 marks

10. The function f is defined by f : x  3 5 x − , x ∈ , x ≠ –1 + 1 x (a) Find f –1(x). (3) (b) Show that + ff(x) = x a x − 1 , x ∈ , x ≠ ±1 where a is an integer to be found. The function g is defined by g : x  x2 – 3x, x ∈ , 0  x  5 (c) Find the value of fg(2). (d) Find the range of g. (e) Explain why the function g does not have an inverse.

Lesson: Laws of Indices