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F(X)= 4/(x-3) g(x)= (x+2)/x solve fg(a)= 1

4/(x-3)*(x+2)/x= 4x+8/ x²-3x
sub in a for x4a+8/a²-3athen equate to 1: 4a+8/a²-3a=1Times the bottom half of the equation up4a+8=a²-3aThe move the 4a+8 across to get a²-7a-8=0Factorise (a+1) (a-8)

Answered by Esther J. • Maths tutor

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