Question

Inverse of 1+x/(2+x)?

Answer 1

y = 1 + x/(2+x)
y(2+x) = 2 + x + x
2y + xy = 2 + 2x
xy - 2x = 2 - 2y
x (y-2) = 2 - 2y
x = 2(1-y) / (y-2)
inverse =
f-1(x) = 2(1-x) / (x-2)

Answer 2

the answer sheet says the denominantor is 1-x

Answer 3

hmm - cant see whats wrong with my algebra

Answer 4

x=1+y/2+y
x(2+y)=1+y
2x+xy=1+y
xy-y=-2x+1
y(x-1)=-2x+1
y=-2x+1/x-1

Answer 5

you had one to many x's in your second step

Answer 6

aaaand the numerator isnt -2x on the answer sheet

Answer 7

hmmm, now Im a little confused. lol

Answer 8

oh i see whats happened - i assumed that original expression was 1 + (x / 2+x) - it would avoid confusion if you had typed it as (1+x)/ (2 + x)

Answer 9

the answer is 2x-1/1-x...

Answer 10

oooh sorry

Answer 11

Ahh ok so they factored out a negative so it should look like this
2x-1/-x+1

Answer 12

or the way you wrote they are equal

Answer 13

yup

Answer 14

gotchya