Skip to content
MathsGenie logo
Quick links
Open app

Course home

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

1.2.22 Inverse and composite functions (A-level only)

EasyMedium
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455
Question 42

The functions fff and ggg are defined by

f(x)=16−x2x∈R,x≥0 f(x) = 16 - x^2 \quad x \in \mathbb{R}, x \ge 0 f(x)=16−x2x∈R,x≥0 g(x)=43x+2x∈R,x≥0 g(x) = \frac{4}{3x + 2} \quad x \in \mathbb{R}, x \ge 0 g(x)=3x+24​x∈R,x≥0
a.

Write down the range of fff.

[1]
b.

Find the value of fg(2)fg(2)fg(2).

[2]
c.

Find g−1(x)g^{-1}(x)g−1(x) and state its domain.

[4]

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)