Tim Gan Math
Sign up free

Reflected open and closed endpoints

Reflected open and closed endpoints

5 marks
TGM Original
Let g(x)=3- x2, -2 <= x<4. Sketch g, g-1 and y=x on equal-scale axes. Label corresponding endpoints, using open circles where necessary. State the inverse domain and range.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inMath tuition

Create a free account to practise similar questions.

Create free accountSign inMath tuition
Answer:\(\mathrm g^{-1}(x)=6-2x\), \(D=(1,4]\), \(R=[-2,4)\); closed endpoints \((-2,4),(4,-2)\), open endpoints \((4,1),(1,4)\).

Need help? Join our JC Math tuition classes.

Learn more