dhiett
Answered

50 points!!!!
Consider the function f(x) = 2/3x - 4.
a.) Find the inverse of f(x) and name it g(x). Show and explain your work.
b.) Use 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 what about your graph shows that the functions are inverses of each other.

Answer :

well lets see so fx does equal to 2/3x -4

mlemonds130

Answer:

f(x) = 2/3x - 4

1. Substitute f(x) for y

y = 2/3x-4

2. Switch x and y

x =  2/3y - 4

3. Solve for y

x = 2/3y - 4

+4          +4

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x+4 = 2/3y

* divide everything by 2/3 to get rid of y

  y = 2/3x + 6

Step-by-step explanation: