Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216
Question 112

The concentration CCC of a chemical in a solution (in mol/L) is modeled by C(n)=3ln⁡(n+4)−2C(n) = 3\ln(n + 4) - 2C(n)=3ln(n+4)−2 for n>−4n > -4n>−4, where nnn is the volume of reagent added in milliliters.

Find an expression for the inverse function C−1(x)C^{-1}(x)C−1(x).

Tick (✓\checkmark✓) one box.

□C−1(x)=ex−23+4\square \quad C^{-1}(x) = e^{\frac{x-2}{3}} + 4□C−1(x)=e3x−2​+4

□C−1(x)=ex+23−4\square \quad C^{-1}(x) = e^{\frac{x+2}{3}} - 4□C−1(x)=e3x+2​−4

□C−1(x)=13ln⁡(x+4)−2\square \quad C^{-1}(x) = \frac{1}{3\ln(x+4)-2}□C−1(x)=3ln(x+4)−21​

□C−1(x)=e3x+2−4\square \quad C^{-1}(x) = e^{3x+2} - 4□C−1(x)=e3x+2−4

[4]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank