Question

Calculate g(b) and g'(b), where g is the inverse of f.
f(x) = x-cos(x), b = -1

g(b) =
g'(b) =

Answer 1

So first you need to find g(-1)

Answer 2

if g(-1)=k then f(k)=-1

Answer 3

by the rule that they are inverses

Answer 4

so just find for what k do we have k-cos(k)=-1

Answer 5

you do not have to solve

Answer 6

a guessing/ trial and error method is needed

Answer 7

so 0