Methods2024 Exam 2 Section A · Q6CAS active1 mark

Inverse of a rational function

Consider the function $f(x) = \frac{2x+1}{3-x}$ with domain $x \in R \setminus \{3\}$ .

The inverse of $f$ is

1 mark

f^{-1}(x) = \frac{3x-1}{x+2}

with domain

x \in R \setminus \{3\}

f^{-1}(x) = 3 - \frac{7}{x+2}

with domain

x \in R \setminus \{-2\}

f^{-1}(x) = 3 + \frac{5}{x+2}

with domain

x \in R \setminus \{-2\}

f^{-1}(x) = \frac{1-3x}{x+2}

with domain

x \in R \setminus \{-2\}

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