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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 175

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

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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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