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Sagot :
we have the function
[tex]f(x)=\sqrt[]{1-x}[/tex]step 1
Verify if the function is even
Remember that
If a function satisfies f(−x) = f(x) for all x it is said to be an even function
so
[tex]\begin{gathered} f(-x)=\sqrt[]{1-(-x)} \\ f(-x)=\sqrt[]{1+x} \end{gathered}[/tex]therefore
f(x) is not equal to f(-x)
the function is not even
step 2
Verify if the function is odd
Remember that
A function is odd if −f(x) = f(−x), for all x
[tex]\begin{gathered} -f(x)=-\sqrt[]{1-x} \\ f(-x)=\sqrt[]{1+x} \end{gathered}[/tex]therefore
-f(x) is not equal to f(-x)
The function is not odd
therefore
the answer is neither
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