exam Maths Puzzle Numerical Ability

It says find an equation of the inverse relation. So those equation for y, if possible, and state whether or not the inverse relation is a function.
The problem is g(x)=1/2x-1.

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exam Other Question

i am having trouble understanding these types of questions..can you help?

length of the major axis of the ellipse 3x^2+2y^2=6 is __________?

this is a problem we had in our class to be reviewed tomorrow..thanks.
The maximum value of z=20x + 8y subject to:
3x+y<=24
6x+4y<=66
x=>0, y=>0 is____