Don't Stop Learning Now!
Gain access to 3,500 HD videos.
Find Study Help
Watch All Videos FREE for 1 Week
No credit card required.TRY 1 WEEK FREE
Finding an Inverse Algebraically - Problem 7
We must treat inverses of odd powers differently than inverses of even powers because of differences in the plus/minus signs. Here we look at taking the inverse of even 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. When you introduce an even root, you need to include a +/ - sign to address the absolute value of x. The given domain restriction will help you determine whether it should be positive or negative in the end. Don't forget that you can check your work using composition of functions!
Transcript Coming Soon!
Tagsinverse functions even powers x and y
Sample Problems (10)
Need help with a problem?
Watch expert teachers solve similar problems.
- Definition of One-to-One Functions 16,255 views
- Definition of Inverse 12,531 views
- Proving Two Functions are Inverses 13,793 views
- Finding an Inverse Graphically 15,349 views
- Exponential Functions and their Graphs 34,236 views
- Solving Exponential Equations with the 'Same' Base 23,760 views
- Introduction to Logarithms 28,592 views
- Solving Simple Logarithmic Equations 25,055 views
- Function Notation with Logs and Exponentials 13,010 views
- Graph of Logarithmic Functions 25,198 views
- Product Rule of Logarithms 14,520 views
- Quotient Rule of Logarithms 13,973 views
- Power Rule of Logarithms 18,273 views
- Expanding Logarithms 19,435 views
- Condensing Logarithms 23,596 views
- Common and Natural Logarithms 20,117 views
- Change of Base Formula 17,476 views
- Solving Exponential Equations with the Different Bases 59,951 views
- Solving a Logarithmic Equation 23,689 views
- Solving a Logarithmic Equation with Multiple Logs 20,836 views
- Compound Interest (Finite Number of Calculations) 15,913 views
- Compound Interest (Continuously) 15,799 views
- Exponential Growth and Decay 17,565 views
- Evaluating a Logarithmic Expression in terms of Known Quantities 13,723 views