Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths WJEC
  5. Question bank

3.2.3 Algebra and Functions (A-level only)

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859
Question 26

The function f f\,f is defined by

f(x)=1x+2,x∈R,x≠−2 f(x) = \frac{1}{x+2}, \quad x \in \mathbb{R}, x \neq -2 f(x)=x+21​,x∈R,x=−2 g(x)=x2−5,x∈R g(x) = x^2 - 5, \quad x \in \mathbb{R} g(x)=x2−5,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)=12\displaystyle fg(x) = \frac{1}{2}fg(x)=21​

[3]

3.2.3 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2.3 Algebra and Functions (A-level only)