If `f(x) = -5/7x-3` ` `  determine the slope of `f^(-1)(x)` without finding the equation `f^(-1)(x)` explicitly     

Expert Answers info

mathsworkmusic eNotes educator | Certified Educator

calendarEducator since 2012

write511 answers

starTop subjects are Math, Science, and Business

The inverse of a function is the reflection of the function in the line `y=x`.

The two gradients (slopes) multiply together to give the slope of the line

`y=x`, which equals 1.

Therefore `f' (f^(-1))' =1`

If the slope of `f` is `-5/7` then the slope of the inverse function`f^(-1)` is

`1/((-5/7)) = -7/5`

The slope of f^(-1) is one over the...

(The entire section contains 2 answers and 221 words.)

Unlock This Answer Now



check Approved by eNotes Editorial

sciencesolve eNotes educator | Certified Educator

calendarEducator since 2011

write5,349 answers

starTop subjects are Math, Science, and Business

check Approved by eNotes Editorial


maythany | Student

check Approved by eNotes Editorial