Find the inverse of the function,
f(x) = (3 + 2x)/(2-5x)
2007-03-10 11:42:09 · 4 answers · asked by cstylezway 1 in Science & Mathematics ➔ Mathematics
showing the steps of solving -
2007-03-10 11:52:19 · update #1
Solve for x in terms of f(x).
2007-03-10 11:46:44 · answer #1 · answered by Jerry P 6 · 0⤊ 0⤋
To find the inverse of a function, you just substitute the x with the y and the y with the x.
Example: f(x)=3x
This basically means y=3x. Switch positions of variables to make it x=3y. Divide by 3 to get y by itself. When y is by itself, you have the inverse. It will be f^-1(x)= x/3
2007-03-10 19:49:45 · answer #2 · answered by Panda 3 · 0⤊ 0⤋
say y=(3+2x) / (2 - 5x) and you want to rearrange it to be of the form: x = .... with no "x" terms on the right.
First step get rid of denominator ( multiply both sides by it)
after that its pretty straightforward.
2007-03-10 19:53:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Inv f = f^-1= g (x) = (2x - 3)/(2 +5x)
2007-03-10 19:53:33 · answer #4 · answered by physicist 4 · 0⤊ 0⤋