(a)[2]
Find the value of $a$ when $f(a)=4$ is given.
(b)[4]
Find a formula for $f^{-1}(x)$, and state the domain of $f^{-1}$.
(c)[3]
For $x>\frac{3}{2}$, define $g$ by $g(x)=\frac{1+4x}{2x-3}$. Show that $fg(x)=kx$, where $k$ is an unknown constant.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
For $x>2$, the function $f$ is given by $f(x)=3+\frac{7}{x-2}$.