Methods2025 NHT Exam 2 Section A · Q13CAS active1 mark

Inverse of an exponential function

Let $f(x) = e^{2x+4}$ , where $x \in \left(0, \frac{1}{2}\right)$ .

The inverse of $f$ is

1 mark

f^{-1}(x) = \frac{1}{2}\log_e(x) - 2

, where

x \in (0, \infty)

f^{-1}(x) = 2\log_e(x) + 4

, where

x \in (0, \infty)

f^{-1}(x) = \frac{1}{2}\log_e(x) - 4

, where

x \in (e^4, e^5)

f^{-1}(x) = \frac{1}{2}\log_e(x) - 2

, where

x \in (e^4, e^5)

Hints, answer checking and worked solutions come with a Season Pass.