SOLUTION: If f(x) = 2x^2 - 1 and h(x) = 18x^4 - 24x^2 + 7, determine a formula for g(x) such that f ∘ g = h

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Question 1034385: If f(x) = 2x^2 - 1 and h(x) = 18x^4 - 24x^2 + 7, determine a formula for g(x) such that f ∘ g = h
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x) = 2x^2 - 1 and h(x) = 18x^4 - 24x^2 + 7, determine a formula for g(x) such that f ∘ g = h
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f[g(x)] = h(x)
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2(g(x))^2 -1 = 18x^4 - 24x^2 + 7
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g(x)^2 = [18x^4-24x^2+7 + 1]/2 = 9x^4 - 12x^2 + 4
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Take the square root to get:
g(x) = (3x^2 - 2)
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Cheers,
Stan H.