2007-12-20 02:58:25 · 5 answers · asked by Yang W 1 in Science & Mathematics ➔ Mathematics
An inverse function can be found by simply substituting y for x and x for y, and then solving for y in the new expression.
f(x) = y = (7x - 9) / (6x - 8)
Inverse:
x = (7y - 9) / (6y - 8)
7y - 9 = x*(6y - 8) = 6xy - 8x
7y - 6xy = -8x + 9
y*(7 - 6x) = -8x + 9
y = (9 - 8x) / (7 - 6x) = (8x - 9) / (6x - 7), the inverse of f(x)
2007-12-20 03:02:43 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
Let y = f(x) = (7x - 9)/(6x - 8)
6xy - 8y = 7x - 9
6xy - 7x = 8y - 9
x(6y - 7) = 8y - 9
x = (8y - 9)/(6y - 7)
Hence, the inverse function of f(x) is
(8x - 9)/(6x - 7)
2007-12-20 03:05:04 · answer #2 · answered by Blake 3 · 0⤊ 0⤋
let y= (7x-9)/(6x-8)
y(6x-8)=7x-9
6xy-8y=7x-9
6xy-7x=8y-9
x(6y-7)=8y-9
x=(8y-9)/(6y-7)
You have expressed x in terms of y. This is the inverse.
2007-12-20 03:12:10 · answer #3 · answered by cidyah 7 · 0⤊ 0⤋
6x 7x
2017-02-22 05:02:30 · answer #4 · answered by hulbert 4 · 0⤊ 0⤋
let say f(x)=y now we just have to find x in terms of y
so y=(7x-9)/(6x-8)
6xy-8y=7x-9
x(6y-7)=8y-9
x=(8y-9)/(6y-7)
so inverse of f(x)=(8x-9)/(6x-7)
2007-12-20 03:04:16 · answer #5 · answered by ncoe 2 · 0⤊ 0⤋