Chapter 7.2, Problem 1PQ

a.

To determine

To verify: Whether $f\left(x\right)=x$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.

b.

To determine

To verify: Whether $f\left(x\right)=1-x$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.

c.

To determine

To verify: Whether $f\left(x\right)=1$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.

d.

To determine

To verify: Whether $f\left(x\right)=\sqrt{x}$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.

e.

To determine

To verify: Whether $f\left(x\right)=\left|x\right|$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.

f.

To determine

To verify: Whether $f\left(x\right)=x^{-1}$ satisfies $f^{-1}\left(x\right)=f\left(x\right)$ or not.