what is the inverse equations of the following:
a) y=sqrt(x-3)-1
b)y=(x-1)^2+3
c)y=2/x+5-1

Question

what is the inverse equations of the following: 
a) y=sqrt(x-3)-1
b)y=(x-1)^2+3
c)y=2/x+5-1

johnweldon1993 · Answer

Alright...so for the inverse equation...we just switch x and y... and solve for 'y' again...

for the first one...

$$\large y = \sqrt{x - 3} - 1$$
becomes
$$\large x = \sqrt{y - 3} - 1$$

Now add 1 to both sides...

$$\large x + 1 = \sqrt{y - 3}$$

Now you square both sides to get rid of that radical...

$$\large (x + 1)^2 = y - 3$$

And finally you add 3 to both sides...

$$\large y = (x + 1)^2 + 3$$

And that is your inverse...can you do the other 2?