0580 P42 - Nov 2016 - Q9 - 10 marks
15093
\(y=\frac3x+2,\quad x\ne0\).
(a(i)) Find y when x = −6. [1]
(a(ii)) Find x in terms of y. [3]
\(g(x)=2-x,\quad h(x)=2^x\).
(b(i)) Find \(g(5)\). [1]
(b(ii)) Find \(hhh(2)\). [2]
(b(iii)) Solve \(g(x)=h(3)\). [2]
(b(iv)) Solve \(g^{-1}(x)=-1\). [1]