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Rebekah Snow
Mathematics
18 April, 11:00
Find the inverse of f (x) = 1 + square root (1+x)
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Jaelyn Watson
18 April, 11:02
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Here is the best answer in the world x^2-2x
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Rebel
18 April, 11:20
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To find inverse
replace f (x) with y
replace all x with y and all y with x
solve for y
replace y with f⁻¹ (x)
so
f (x) = 1+√ (1+x)
y=1+√ (1+x)
x=1+√ (1+y)
minus 1 both sides
x-1=√ (1+y)
square both sides
x²-2x+1=1+y
minus 1 both sides
x²-2x=y
f⁻¹ (x) = x²-2x
the inverse is f⁻¹ (x) = x²-2x
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