SOLUTION: Find a formula for f^-1(x). Give the domain of f^-1, including any restrictions "inherited" from f.
f(x)= 2x-3/x+1
I have tried replacing the x as a y:
x = 2y-3/y+1
y+1(x)
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-> SOLUTION: Find a formula for f^-1(x). Give the domain of f^-1, including any restrictions "inherited" from f.
f(x)= 2x-3/x+1
I have tried replacing the x as a y:
x = 2y-3/y+1
y+1(x)
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Question 682489: Find a formula for f^-1(x). Give the domain of f^-1, including any restrictions "inherited" from f.
f(x)= 2x-3/x+1
I have tried replacing the x as a y:
x = 2y-3/y+1
y+1(x) = 2y-3
y = 2y-3/1x
That's as far as I got, and I don't know how to determine if there are restrictions on f(x) or f^-1 (x). Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website! Inverse function is NOT determined by swapping x and y then solving y,
it IS determined by solving for x and then swapping the x and y variables.
y = ==> multiply both sides by (x+1)
y(x+1) = (2x-3) ==> distribute the y
xy+y = 2x-3 ==> group x variables on the left
xy + 2x = -3 - y ==> factor out the x variable
x(y+2) = -3 - y ==> divide both sides by (y+2) to isolate x
x = (-3-y)/(y+2) ==> swap x and y variables
...
restriction in f(x) is
restriction in is
...
domain is all real numbers except -1 and -2
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