Skip to content

Course home

1.3 Functions

1.3 Functions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148
Question 31

The function f f\,f is defined by

f(x)=1x+5,x∈R,x≠−5 f(x) = \frac{1}{x+5}, \quad x \in \mathbb{R}, x \neq -5 f(x)=x+51​,x∈R,x=−5 g(x)=3x2−1,x∈R g(x) = 3x^2 - 1, \quad x \in \mathbb{R} g(x)=3x2−1,x∈R
a.

Write down the range of f(x)f(x)f(x)

[2]
b.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain

[3]
c.

Solve fg(x)=116\displaystyle fg(x) = \frac{1}{16}fg(x)=161​

[3]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank