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

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

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