2 Find the inverse of gxx23 3 Describe how the graph of y2fx
2. Find the inverse of g(x)=(x+2)^3
3. Describe how the graph of y=2f(x-3) can be obtained from f(x).
4. Given f(x)= squareroot(9-x)^2, use graphing calculator to draw the graph of f. Then
a. Find the Domain and Range of f from the graph.
b. Is f one-to-one? Why, or why not?
Solution
2. gx)=y=(x+2)^3
Switching x and y
x=(y+2)^3
x^1/3=y+2
y= x^1/3 -2
f-1(x)=x^1/3 -2
