SOLUTION: f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph

Question 607175: f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph

Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Replace with

Step 2: Solve for in terms of

Step 3: Swap positions of the variables:

Step 4: Replace with

You should be able to graph a straight line by yourself by now.

John

My calculator said it, I believe it, that settles it

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph
y=x/3-2
to find inverse, interchange x and y, then solve for y=F^-1
x=y/3-2
3x=y-6
y=3x+6
F^-1=3x+6
see graph below
Red curve is F and green curve is F^-1

RELATED QUESTIONS
find the inverse of f(x)= 1/3x+2 and graph both (answered by erica65404)
Find the inverse of f(x)=(4x-2)/(3x+2). Verify your answer by showing that f(f^-1(x))=x... (answered by Theo)
Find the inverse of these functions F(f-1(x))... (answered by greenestamps)
I need help asap!!! someone help! Use the given function f to answer parts a) through... (answered by lwsshak3)
For the function f(x)=3x-2 Find the inverse function f^1(x). Show that f(x) and f^1(x)... (answered by ankor@dixie-net.com)
I am trying to find the inverse of each function and express it in the form y=f inverse... (answered by venugopalramana)
i need to verify f and g are inverse functions f(x)= X^5 ; g(x)= 5 sqr of... (answered by edjones)
given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g),... (answered by josgarithmetic)
How can I find out if f(x)=6x+2 and g(x)=x-1/3 are inverse functions? (answered by solver91311)