The functions are $f(x) = 2x + 5$, $g(x) = 2^x$, and $h(x) = 7 - 3x$.
(a(i))[1]
Find the value of $f(3)$.
(a(ii))[2]
Find $g(g(3))$.
(b)[2]
Find the inverse function $f^{-1}(x)$.
(c)[2]
Find $fh(x)$, and give your answer in simplest form.
(d)[3]
Find the integer values of $x$ that make this inequality true: $1 < f(x) \leq 9$.
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