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Domain of a function (1 Viewer)

Hivaclibtibcharkwa

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So with this question i sort of used logic, x can’t be zero and the inside can’t equal zero to get my domain. What would be the actual mathematical way of solving this?17F2D1AC-F530-4471-A300-76D283D754DF.jpeg7F7FEE89-6F87-4ADE-9F32-636670E60A57.jpeg
 

cossine

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So with this question i sort of used logic, x can’t be zero and the inside can’t equal zero to get my domain. What would be the actual mathematical way of solving this?View attachment 36136View attachment 36137
x can’t be zero. ?? x can equal zero however x cannot be less than 0 because you cannot take the square root of a negative number.

3- sqrt(x) >= 0
-sqrt(x) >= -3
sqrt(x) <= 3
=> x <= 9 # Note x must also greater than or equal to zero because of the square root.
Therefore 0<= x <= 9
 

Hivaclibtibcharkwa

𝗕𝗶𝗼𝗹𝗼𝗴𝘆 𝗧𝘂𝘁𝗼𝗿
Joined
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x can’t be zero. ?? x can equal zero however x cannot be less than 0 because you cannot take the square root of a negative number.

3- sqrt(x) >= 0
-sqrt(x) >= -3
sqrt(x) <= 3
=> x <= 9 # Note x must also greater than or equal to zero because of the square root.
Therefore 0<= x <= 9
Yea that’s what I did on my working out image above, also typo I meant cannot be less than zero. So that seems to be the only method to solve this
 

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