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Property 19

  • Since the point a is on the x axis
    \((a,0)\in f\quad\Rightarrow f(a)=0\text{ and }f^{-1}(0)=a\)
  • Since the point b is on the y axis
    \((0,b)\in f\quad\Rightarrow f(0)=b\text{ and }f^{-1}(b)=0\)
  • \((c,d)\in f\quad\Rightarrow f(c)=d\text{ and }f^{-1}(d)=c\)
1.
\(\Rightarrow f(3)+f(0)=?\)
2.
\(\Rightarrow \samefrac{f(3)+f(-2)}{f(0)}=?\)
3.
\(\Rightarrow f^{-1}(3)+f^{-1}(-2)=?\)
4.
\(\Rightarrow \samefrac{f^{-1}(6)+f(-2)}{f^{-1}(0)}=?\)
5.
\(\Rightarrow (g\circ f^{-1})(3)=?\)
6.
\(\Rightarrow (f\circ g)^{-1}(6)+f(0)=?\)