SOLUTION: I could really use some help finding the inverse of this function: h(x)=(6x-5)/2. Any help you be greatly appreciated. Thank you!!!

Algebra ->  Functions -> SOLUTION: I could really use some help finding the inverse of this function: h(x)=(6x-5)/2. Any help you be greatly appreciated. Thank you!!!      Log On


   

Question 383537: I could really use some help finding the inverse of this function: h(x)=(6x-5)/2.
Any help you be greatly appreciated. Thank you!!!
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with:
h%28x%29=%286x-5%29%2F2
replace h(x) with a y:
y=%286x-5%29%2F2
switch the variables x for y and y for x:
x=%286y-5%29%2F2
solve for y:
x=%286y-5%29%2F2
2x=6y-5
2x%2B5=6y
%282x%2B5%29%2F6=y
.
So, your inverse would be:
h%5E-1%28x%29=%282x%2B5%29%2F6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
inverse of this function: h(x)=(6x-5)/2
-----------------
y = (6x-5)/2
---
1st: Interchange x and y:
x = (6y-5)/2
---
2nd: Solve for "y":
6y-5 = 2x
6y= 2x+5
y = (2x+5)/6
---
That is the inverse.
Cheers,
Stan H.
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