Please Help!
Consider the function. f (x) = 1/2x +1
a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverses of each other.
c. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

Question

Please Help!
Consider the function. f (x) = 1/2x +1
 a. Find the inverse of f(x) and name it g(x). Show and explain your work. 
b. Use function composition to show that f(x) and g(x) are inverses of each other. 
c. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

myininaya · Answer

So you are given y=x/2+1.
1st step: Solve for x.
Do this and I will give you the next step.

anonymous · Answer

is it y-1=x/2?

myininaya · Answer

Ok you still need x on one side. How to undo that division by 2?

anonymous · Answer

to tell you the truth i really don't know. i was hoping you could help explain it

myininaya · Answer

To undo division, you multiply.

myininaya · Answer

Since you have division by 2 and you want to undo the division, then you multiply by 2.  
Don't forget whatever you do to one side you do to the other.