Skip to content

Course home

Sign up

1.2.22 Inverse and composite functions (A-level only)

EasyMediumHard
1234567891011121314151617181920212223242526272829
Question 16

The function fff is defined by

f(x)=4x−1x−3,x>3 f(x) = \frac{4x - 1}{x - 3}, \quad x > 3 f(x)=x−34x−1​,x>3
a.

Show, by using calculus, that fff is a decreasing function.

[3]
b.

Find f−1(x)f^{-1}(x)f−1(x).

[3]
c.

(i) Show that ff(x)=ax+bx+cff(x) = \frac{ax + b}{x + c}ff(x)=x+cax+b​ where a,b,a, b,a,b, and ccc are constants to be found. (ii) Deduce the range of ffffff.

[5]
Markscheme

1.2.22 Inverse and composite functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.2.22 Inverse and composite functions (A-level only)

52 exam-style questions on OCR A Level Maths 1.2.22 Inverse and composite functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank