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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]

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