The graph of f(x) is shown along with the line y = x:

Assume that f^ −1(x) is defined by restricting f(x) to the domain a

Question

The graph of f(x) is shown along with the line y = x:

Assume that f^ −1(x) is defined by restricting f(x) to the domain a < x < b. Which of the following statements is false?

nathanjhw · Answer

attachment

nathanjhw · Answer

f^-1 (x) is a one-to-one function
f^-1(x) has a domain of d<x<c
a=f^-1(f(a))
d/dx(f^-1(x))>= 0
f^-1(c)=a

nathanjhw · Answer

@dan815

welshfella · Answer

Hint:  f(-1)x is the reflection of f(x) in the line y=x

anonymous · Answer

btw, try wolframalpha or desmos calculator. They really help out.

anonymous · Answer

With desmos you can compare multiple equations graphed.

anonymous · Answer

wolframalpha  - does the math for you. I know a little bit of tricks there and there for it so feel free to ask away if you need help with it.

anonymous · Answer

PLease notify us what you get.

nathanjhw · Answer

Thanks @welshfella