Skip to content

Course home

Sign up

Functions and Graphs

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190
Question 120

The function f−1f^{-1}f−1 is defined by

f−1(x)=ex−2+12,x∈R f^{-1}(x) = \frac{e^{x-2}+1}{2}, \quad x \in \mathbb{R} f−1(x)=2ex−2+1​,x∈R
a.

Find the exact value of f−1f−1(2+ln⁡3)f^{-1}f^{-1}(2+\ln 3)f−1f−1(2+ln3)

[2]
b.

Find an expression for f(x)f(x)f(x)

[3]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank