Question
In Exercises 63-76, determine whether the function has an inverse function. If it does, find the inverse function.$ f(x) = \left\{ \begin{array}{ll} x+3, & \mbox{ $ x < 0 $} \\ 6-x, & \mbox{ $ x \geq 0 $} \end{array} \right.$
Step 1
The function is a piecewise function with two parts. The first part is $f(x) = x+3$ for $x < 0$ and the second part is $f(x) = 6-x$ for $x \geq 0$. Show more…
Show all steps
Your feedback will help us improve your experience
Heather Zimmers and 94 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises 63-76, determine whether the function has an inverse function. If it does, find the inverse function. $ f(x) = \left\{ \begin{array}{ll} -x, & \mbox{ $ x \leq 0 $} \\ x^2 - 3x, & \mbox{ $ x > 0 $} \end{array} \right.$
Functions and Their Graphs
Inverse Functions
In Exercises 63-76, determine whether the function has an inverse function. If it does, find the inverse function. $f(x) = \frac{1}{x^2}$
In Exercises 63-76, determine whether the function has an inverse function. If it does, find the inverse function. $f(x) = \sqrt{2x+3}$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD