SOLUTION: How do I get the inverse y=f(x)
y= 5x-9/3x-7
After I multiply the reciprocal and wipe out 3x-7 on the right, I just don't know how to do the left side.
Algebra.Com
Question 1008364: How do I get the inverse y=f(x)
y= 5x-9/3x-7
After I multiply the reciprocal and wipe out 3x-7 on the right, I just don't know how to do the left side.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Assuming that you really have , because grouping properly is important,...
Let g(x) be the inverse of f(x).
Using your definition for f, and letting input for f be g(x), you expect
.
Solve for g(x).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I get the inverse y=f(x)
y= 5x-9/3x-7
--------
1st: Interchange x and y to get:
x = (5y-9)/(3y-7)
-----
2nd:: Solve for "y"::
Cross-multiply to get:
3xy-x = 5y-9
---
3xy-5y = x-9
----
y(3x-5) = x-9
-----
y = (x-9)/(3x-5)
----
That is the inverse.
Cheers,
Stan H.
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