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Finding an Inverse Algebraically  Problem 4
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
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!
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Alissa Fong
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.... :)”
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Sample Problems (10)
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Finding an Inverse Algebraically
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f(x) = (x − 2)³ 
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Problem 2 4,795 viewsFind g⁻¹(x) given
g(x) = x² + 2 
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Problem 8 564 views 
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Problem 10 668 views
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