Answer:
x = ±(√y)/3
x = ±(√2)/3
Step-by-step explanation:
Put the given information in the given equation and solve for x:
f(x) = 2
2 = 9x^2 . . . . . use 2 in place of f(x)
2/9 = x^2 . . . . divide by 9
±√(2/9) = x . . . take the square root
x = ±(√2)/3 . . . simplify
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Using this as an example, we can solve f(x) = y in the same way:
y = 9x^2 . . . . use y for f(x)
y/9 = x^2 . . . divide by the coefficient of x^2
±√(y/9) = x . . . take the square root; next, simplify
x = ±(√y)/3 . . . . the equation solved for x. Note this matches the above when y=2.
