Help Algebra 2

Question

Thanks a lot in advance!

Heres the link:

http://s1039.photobucket.com/user/dani_doll98/media/Image%201_zpstjgphe9x.jpg.html?sort=3&o=1

Answer 1

(a)

Step 1:

The function is .

Rewrite the function as an equation relating and .

Exchange and in the equation.

Solve the equation for .

Replace with .

The inverse of is .

Solution:

The inverse function is .

Answer 2

(b)

Step 1:

The functions are and .

Find the Composition of functions.

Find .

Composition of functions formula: .

Substitute in the formula.

Substitute again in and simplify.

Find .

Composition of functions formula: .

Substitute in the formula.

Substitute again in and simplify.

Therefore,

Solution:

The functions and are inverses of each other.

Answer 3

(c)

Graph the functions.

From a:

Consider the functions are and .

Graph the functions and .

Observe the graph:

Since, the graph of is the reflection of the graph of in the line .

The functions and  are inverses of each other.