SOLUTION: if g(x)=2x^2 +4x + 2.what is the value of g^-1 (0)

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Question 880499: if g(x)=2x^2 +4x + 2.what is the value of g^-1 (0)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Be aware that the inverse of g is not a single function. g^-1(0) might be undefined, have one value or might have two values.

2%28x%5E2%2B2x%2B1%29
2%28x%2B1%29%5E2
g%28x%29=2%28x%2B1%29%5E2
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If y is the inverse, then x=2%28y%2B1%29%5E2
x%2F2=%28y%2B1%29%5E2
y%2B1=0%2B-+sqrt%28x%2F2%29
y=-1%2B-+sqrt%28x%2F2%29
Rationalize the denominator if desired
y=-1%2B-+sqrt%282x%29%2F2
Decide which branch you want for g%5E-1%28x%29.