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0580 P42 - Jun 2024 - Q7 - 11 marks
11632

(a) Solve \(3x-8=6-4x\). [2]

(b) Factorise fully \(10a^2+5a\). [2]

(c) Factorise fully \((2x-3)^2-9\). [2]

\(f(x)=\frac1{4x-1},\ x\ne1/4\), \(g(x)=3^x\).

(d(i)) Find f(4). [1]

(d(ii)) Find gg(2). [2]

(d(iii)) Find k when g(k)=f(7). [2]

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