Asked by Anonymous
f(x)=-2sqrt{-x+4}
find f-1(x), restricting its domain so that f(x) is truly its inverse.
find f-1(x), restricting its domain so that f(x) is truly its inverse.
Answers
Answered by
Damon
f(x)=-2sqrt{-x+4}
x must be </= 4 or f(x) will be imaginary.
x = -2 sqrt(-y+4)
x^2 = 4 (-y+4)
x^2/4 = -y + 4
y = 4 - x^2/4
x must be </= 4 or f(x) will be imaginary.
x = -2 sqrt(-y+4)
x^2 = 4 (-y+4)
x^2/4 = -y + 4
y = 4 - x^2/4
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