Asked by Dave
Find the inverse of:
y = ((-1) / (x+5)) - 1
y = ((-1) / (x+5)) - 1
Answers
Answered by
Reiny
y = -1/(x+5) - 1
step #1 in finding the inverse is to interchange the variables, so
x = -1/(y+5) - 1
now solve this for y
x+1 = -1/(y+5)
(x+1)(y+5) = -1
xy + 5x + y + 5 = -1
y(x+1) = -5x - 6
y = -(5x+6)/(x+1), x ≠ -1,-5
step #1 in finding the inverse is to interchange the variables, so
x = -1/(y+5) - 1
now solve this for y
x+1 = -1/(y+5)
(x+1)(y+5) = -1
xy + 5x + y + 5 = -1
y(x+1) = -5x - 6
y = -(5x+6)/(x+1), x ≠ -1,-5
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