1.12. Inverses of Functions http://www.ck12.org
- Sketchh(x)andh−^1 (x).
- Findh−^1 (x)algebraically. It is actually a function?
- Verify graphically thath(x)andh−^1 (x)are inverses.
Considerj(x) = 2 x−5. - Sketchj(x)andj−^1 (x).
- Findj−^1 (x)algebraically. It is actually a function?
- Verify algebraically thatj(x)andj−^1 (x)are inverses.
- Use the horizontal line test to determine whether or not the inverse off(x) =x^3 − 2 x^2 +1 is also a function.
- Areg(x) =ln(x+ 1 )andh(x) =ex−^1 inverses? Explain.
- If you were given a table of values for a function, how could you create a table of values for the inverse of the
function?
Key features of functions were explored through the use of ten basic function families. Transforming functions and
finding inverses of functions were also considered.