exam Maths Puzzle Numerical Ability

x^2-6x+9/x^2-9

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exam Other Question

Given f(x)=x^3+2 and g(x)=cube_root(x-2), show that f(g(x))=x and g(f(x))=x. Graph both functions on the same set of coordinate axes. Find the determinate of the matrix
(8 + 4a 4)
(5 + 3a 3)

Possible answers are:
a.) 4
b.) 44
c.) 4 + 24a
d.) 44 + 24a