book Maths Puzzle Numerical Ability

I tried finding a solver on the site to find the reciprocal for this question.
y^2+5y-9 / y^2-9y+3
This is a bit tricky.
I simply dont understand it.

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book Other Question

For the function, y=1/(x-2)

a) Give the y values for x = -2, -1, 0, 1, 2, 3.
Answer:

Show work in this space.



b) Using these points, draw a curve.
Show graph here.
Find the slope of the line whose equation is x=5.