Question

For which values of x does each expression make sense?the square root of |x|+1I'll upload a picture

Answer 1

Recall that the square root of y is defined for all

$y\ge0.$

Now, we know that

$|x|\ge0,$

for all x in the real numbers.

Then:

$|x|+1>0.$

Therefore, the expression makes sense for all x in the real numbers.

Answer:

$\R\text{.}$