Question

determine whether y is a function of x. y= radical 1-x

Answer 1

it is a function if you write it as one
\[f(x)=\sqrt{1-x}\]

Answer 2

y is a function of x if there is exactly one y value for any x you might plug in.

Answer 3

\[f(x) = \sqrt{1-x}\]
\[y=f(x)=\sqrt{1-x}\]
\[y ^{2}=1-x\]
\[x=1-y ^{2}\]
plug the x into \[f(x) = \sqrt{1-x}\]
\[f(x) =\sqrt{1-(1-y ^{2})}\]
\[f(x) = \sqrt{-y ^{2}}\]
\[f(x) = (-y ^{2})^{1/2}\]
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