Enhanced Assignment

Question $10,3\mathrm{.}10\mathrm{.}9$

If $f$ is a one$-$to$-$one function with $f(7)=5$ and $f^{\text{'}}(7)=9,$ find the equation of the line tangent to $y=f^{-1}(x)$ at $x=5.$

The equation of the line tangent to $y=f^{-1}(x)$ at $x=5$ is

If $f$ is a one$-$to$-$one function with $f(9)=5$ and $f^{\text{'}}(9)=7,$ find the equation of the line tangent to $y=f^{-1}(x)$ at $x=5.$

The equation is