The functions $f(x) = 7 - 2x$, $g(x) = \frac{10}{x}$, $x \ne 0$, and $h(x) = 27^x$ are provided.
(a(i))[1]
Find the value of $f(-3)$.
(a(ii))[2]
Find the value of $hg(30)$.
(a(iii))[2]
Find the inverse function $f^{-1}(x)$.
(b)[3]
Solve $g(2x + 1) = 4$.
(c)[3]
Simplify, and give your answer as one fraction, $\dfrac{1}{f(x)} + g(x)$.
(d)[1]
Find the value of $h^{-1}(19683)$.
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