book Maths Puzzle Numerical Ability

explain why funtion y=x square has no inverse,suggest how many inverses can you define for it? sketch all of them

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book Other Question

The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long. A parabola y=ax^2+bx=c has a vertex (5,-3). If (6,0) is on the parabola,
then a+b+c=