Final answer:
The solutions to the equation f(x) = g(x) do not exist.
Step-by-step explanation:
To find the solutions to the equation f(x) = g(x), we need to equate the two functions and solve for x. The given function f(1) = -21 tells us that f(x) is a constant function that equals -21 for all values of x. Similarly, g(x) = 1² - 3 simplifies to g(x) = -2. So, the equation f(x) = g(x) becomes -21 = -2. However, since this equation is not true, there are no solutions to the equation f(x) = g(x).
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