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The functions y = f(x) = bx^2 and y = g(x) = ax are not drawn to scale. Determine the values of a and b. Write down a possible restriction for f(x) so that the inverse of f will be a function. Hence determine the equation of the inverse function of f. Write down the equation of the inverse function of g. If h(x) = g(x - 2) + 3, state the transformation that was applied to g(x) to form h(x) and hence the equation of h(x).

In this Grade 12 math problem, learn how to determine the values of constants in quadratic and linear functions, find their inverse functions, and understand the transformation applied to form a new function.

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