SOLUTION: Find the inverse of the following functions: f(x) = -3× + 2 f(x) = 5x + 3 f(x) = (x-3)^2 + 2, 3_< x.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the inverse of the following functions: f(x) = -3× + 2 f(x) = 5x + 3 f(x) = (x-3)^2 + 2, 3_< x.      Log On


   

Question 1071330: Find the inverse of the following functions:
f(x) = -3× + 2
f(x) = 5x + 3
f(x) = (x-3)^2 + 2, 3_< x.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Fix your first one.


Only dealing with f(x)=(x-3)^2+2, and upon inverting, taking the upper branch ---

(The 'quick' way, but not the formally correct way)
%28y-3%29%5E2%2B2=x
y-3=0%2B-+sqrt%28x-2%29
y=3%2B-+sqrt%28x-2%29
highlight%28y=3%2Bsqrt%28x-2%29%29------the upper branch, range y%3E=3.

This should be shown,
highlight%28f%5E-1%28x%29=3%2Bsqrt%28x-2%29%29