Question

Suppose that f has an inverse and f(−4)=3, f′(−4)=4/7. If g=(1)/(f−1), what is g′(3)

Answer 1

what does 1f-1 mean?

Answer 2

i wonder if you just mean that g is the inverse of f ?

Answer 3

\[\text{ if so } g'(3)=\frac{1}{f'(g(3))}\]

Answer 4

and if f(-4)=3 then g(3)=-4

Answer 5

if f and g are inverses

Answer 6

g=(1)/(f−1)

Answer 7

\[g(x)=\frac{1}{f(x)-1}?\]

Answer 8

Use quotient rule