Join now for JEE/NEET and also prepare for Boards Join now for JEE/NEET and also prepare for Boards. Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
Hi , Show that the inverse of a linear fraction function is always a linear fraction function (except where it is not defined). Hi , Show that the inverse of a linear fraction function is always a linear fraction function (except where it is not defined).
Hi ,
Show that the inverse of a linear fraction function is always a linear fraction function (except where it is not defined).
Let, f(x) = (a+bx)/(c+dx) be the said linear fraction function. Let at some x it attains value y, so, (a+bx)/(c+dx) = y => a + bx - cy - dxy = 0 => a - cy + x (b - dy) = 0 => x = (cy-a)/(b-dy). Which is again a linear fraction function defined in R except at x = -c/d and y = b/d and inverse of the given function is, y = (cx-a)/(b-dx).
Let, f(x) = (a+bx)/(c+dx) be the said linear fraction function.
Let at some x it attains value y, so,
(a+bx)/(c+dx) = y
=> a + bx - cy - dxy = 0
=> a - cy + x (b - dy) = 0
=> x = (cy-a)/(b-dy).
Which is again a linear fraction function defined in R except
at x = -c/d and y = b/d
and inverse of the given function is, y = (cx-a)/(b-dx).
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -