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 16,173 views
- Definition of Inverse 12,479 views
- Proving Two Functions are Inverses 13,705 views
- Finding an Inverse Graphically 15,290 views
- Exponential Functions and their Graphs 34,090 views
- Solving Exponential Equations with the 'Same' Base 23,617 views
- Introduction to Logarithms 28,490 views
- Solving Simple Logarithmic Equations 24,883 views
- Function Notation with Logs and Exponentials 12,958 views
- Graph of Logarithmic Functions 25,018 views
- Product Rule of Logarithms 14,438 views
- Quotient Rule of Logarithms 13,858 views
- Power Rule of Logarithms 18,167 views
- Expanding Logarithms 19,332 views
- Condensing Logarithms 23,393 views
- Common and Natural Logarithms 19,947 views
- Change of Base Formula 17,378 views
- Solving Exponential Equations with the Different Bases 59,288 views
- Solving a Logarithmic Equation 23,605 views
- Solving a Logarithmic Equation with Multiple Logs 20,680 views
- Compound Interest (Finite Number of Calculations) 15,819 views
- Compound Interest (Continuously) 15,699 views
- Exponential Growth and Decay 17,431 views
- Evaluating a Logarithmic Expression in terms of Known Quantities 13,634 views