The functions are given by $f(x)=2x-1$, $g(x)=3x-2$, $h(x)=\dfrac{1}{x}$, with $x \neq 0$, and $j(x)=5^x$.
(a(i))[1]
Find the value of $f(2)$.
(a(ii))[1]
Find the value of $gf(2)$.
(b)[2]
Find the value of $g^{-1}(x)$.
(c)[2]
Find the value of $x$ for which $h(x) = j(-2)$.
(d)[2]
Rewrite $f(x) - h(x)$ as one fraction.
(e)[1]
Find the value of $j \circ j(2)$.
(f)[2]
Find the value of $x$ when $j^{-1}(x) = 4$.
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