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Write the inverse of f(x)=1\9(x-4)^2
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Write the inverse of f(x)=1\9(x-4)^2
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Nov 4, 2019
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Write the inverse of f(x)=1\9(x-4)^2
Mathematics
college
Bunny Bunny
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f(x) does not pass the horizontal line test, so its inverse is not a function.
Write it as y = f(x), then interchange variables and solve for y.
y = (1/9)(x - 4)²
x = (1/9)(y - 4)²
9x = (y - 4)²
±3√x = y - 4
y = 4 ± 3√x
f⁻¹(x) = 4 ± 3√x
Biendltb
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Nov 8, 2019
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