Exam Maths Puzzle Algebra

What is f^-1(x) if f(x)=1/2x-3?
would the answer be f^-1(x)=1/2x+3? if not what?

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Exam Other Question

Solve each inequality. State the solution set using interval notation & graph it.
a^2 + a > 6

w - 6/w < 0

Find the vertex and intercepts for each quadratic function and sketch its How would I do 2y^2 = 3y + 4 using the Quadratic formula and also how would I do x^2 = 4x using the quadratic formula?