SOLUTION: Find the inverse of the function f(x)=-(3/4)x+2 I was given this as the answer (answer Key)..however I don't understand to get to this. Answer that answer the answer key give

Algebra ->  Inverses -> SOLUTION: Find the inverse of the function f(x)=-(3/4)x+2 I was given this as the answer (answer Key)..however I don't understand to get to this. Answer that answer the answer key give      Log On


   

Question 206268: Find the inverse of the function f(x)=-(3/4)x+2
I was given this as the answer (answer Key)..however I don't understand to get to this.
Answer that answer the answer key gives is.
b= -4/3a + 8/3
Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-%283%2F4%29x%2B2
let y=f%28x%29
y=-%283%2F4%29x%2B2

Switch x and y.
x=-%283%2F4%29y%2B2
Solve for y.
x-2=-%283%2F4%29y
y=-%284%2F3%29x%2B8%2F3


Compare that to b=+-%284%2F3%29a+%2B+8%2F3. Your answer key used a and b in place of x and y.