INVERSE FUNCTION (1 Viewer)

[hscwav2012]

Find Inverse: (2)/(3x+6)-1

 

[Carrotsticks]

Did you mean find the inverse of:

 

[hscwav2012]

Yes

 

[hscwav2012]

Do you just swap the y & x then make y the subject?

 

[Carrotsticks]

Yep.

But for other questions, make sure you watch out for curves where the domain must be restricted in order for the inverse function to exist ie: y=x^2 can only have an inverse for the right half or the left half, but not both at the same time.

Otherwise you have an inverse RELATION not an inverse FUNCTION.

 

[Timske]

y = (2)/(3x+6) - 1

x = (2)/(3y+6) - 1
x(3y+6) = 2 - (3y+6)
x(3y+6) + (3y+6) = 2
3xy + 6x + 3y + 6 = 2
3xy + 3y = -4 - 6x
3y(x + 1) = -4 - 6x
3y = (-4-6x)/(x+1)
:. y = (-4-6x)/3(x+1)