exam Maths Puzzle Numerical Ability

I have the following problem:

If 2f(x)+f(1-x)=x2(this should be "x-squared"), what is f(x)?

The answer is f(x)=1/3x2+2/3x-1/3. But how in the world do you get to this answer

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exam Other Question

Please help!

Graph the solutioin to the system of inequalities y>-4/3x+8
y<=2/3x+1


Thank you!!
On March 5th, a couple took out a 90-day loan for $450 at 9% interest. On March 29th, they made a partial payment of $150. After making the payment, how much did they still owe?