1. Find
,find f(g(x)) and the domain and range
(algebraically and graphically).
2. Given f(x) = x2 + 3, find f-1(x). Is f-1(x) a function?
3. Given g(x) = 3x – 2, find g-1(x).
4. True or false. If f(x) is a function, then its inverse is a function.
Explain.
5. Are inverse functions and inverse relations the same? Why or
why not?
WARM UP
Find the inverse of each function.
Find the inverse of f(x)
1. {(1,2), (3, 4), (5, 6)} = f(x)
2. {(1,2), (3, 4), (4, 2)} = g(x)
3.
4. y = x2 – 4
5. On the graphing calculator, graph...
y1 = 2x
y 2 = x2 – 4
...and their corresponding inverses. (Hint: Use the draw function
or parametric equations.)