State restrictions in the variable

Question

1.√x+3

2.√2x-1

3. 3√4-x

 

4. 7x^2

    ------

    √x-2

 

help please x

 

 

Answer 1

IT IS NECESSARY, FOR STRICT CLARITY, TO ENCLOSE THE ENTIRETY OF EACH RADICAND EXPRESSION in parentheses.

 

I WILL ASSUME, IN #2, that the expression desires the square root of (2x-1); this radicand must be non-negative, so we must solve 2x-1≥0, which leads to the restriction x ≥½.  You can do similar work for #1 & 3.

 

For # 4, x> 2 is required, because the denominator cannot be allowed to be zero.

 

These observations are fairly straightforward, and I hope that you learn from them.