I shifted this qn to the uni section, apparently its too challenging for pre-uni lvl. . Hope you guys can enlighten me.

The function g is defined by $\displaystyle g(x)=\dfrac {1}{(x-5)(x+3)}$, x not equal to -3 and 5.

i) Find the coordinates of the turning point of the curve y=g(x).

ii) Hence, sketch the graph of y=g(x) and write down the range of the function g.

PS: Using calculus, I found the turning point to be (1, 1/-16).

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