Question 1205651
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Create two functions h(x) and j(x) so that the composed function (h o j)(x) does not exist. Explain your answer.
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        I edited your post replacing your  " (h x j)(x) "  by  " (h o j)(x) ", 
        which is the standard designation for the composition of functions  j  and  h.


        From your posts,  I see that you don't know this standard designation.



<pre>
Take j(x) = -|x|-1,  h(x) = {{{sqrt(x)}}}.



Then  the composition is

    (h o j)(x) = {{{sqrt(-abs(x)-1)}}},


and this function does not exist.



It does not exist, because its domain is the empty set: 
for all real x, the expression under the square root function is negative.
</pre>

Solved.