We must treat inverses of odd powers differently than inverses of even powers because of differences in the plus/minus signs. Recall that an odd root of a negative value does exist! (Like, the cube root of negative 8 is negative 2). Here we look at taking the inverse of odd power functions by first switching x and y, then undoing any operations to isolate the power, then doing the opposite root, rationalizing the denominator, and simplifying. Don't forget that you can check your work using composition of functions!
Experience the 'A-Ha!' moment with the best teachers
whom we hand-picked for you!
M.A. in Secondary Mathematics, Stanford University B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
“Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
“Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
“You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”