exam Maths Puzzle Numerical Ability

Can I have some help finding the inverse function of f?

f(x)=1/(-10 x^2 + 6),text( )x>=0

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exam Other Question

Apply using quadratic formula to find the roots and graph.
g(x)= x^2 - x - 12 How would i solve these using factoring ? .

1- 5x^2 = 2x - 7x^2
2- 3x^2 + 6x = 2x^2 - 9
3- 5x^2 - 11x + 2 = 0