SOLUTION: Create two functions h(x) and j(x) so that the composed function (h x j)(x) does not exist. Explain your answer.

Question 1205651: Create two functions h(x) and j(x) so that the composed function (h x j)(x) does not exist. Explain your answer.
Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
Create two functions h(x) and j(x) so that the composed function (h o j)(x) does not exist. Explain your answer.
~~~~~~~~~~~~~~~~~~~~~

        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.

Take j(x) = -|x|-1,  h(x) = .



Then  the composition is

    (h o j)(x) = ,


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.

Solved.

RELATED QUESTIONS
Create two functions h(x) and j(x) so that the composed function (h pr014-1.jpg j)(x)... (answered by ikleyn)

Create two functions h(x) and j(x) so that the composed function (h*j)(x) does not exist. (answered by ikleyn)

I'm having some trouble with these two functions Evaluate the function at the... (answered by jim_thompson5910)

Determine the expression for {{{ (h * j) }}}. {{{ h(x) = sqrt (x^2-1) }}} {{{ j(x) =... (answered by Fombitz)

Express the given function h as a composition of two functions f and g so that... (answered by Boreal)

Given the following function h(x), h(x) =(3x � 1)^4 find two functions f and g so that (answered by stanbon)

f(x)=x^3. g(x)=(sq. root of)x. h(x)=x-4. and j(x)=2x. If k(x)=(sq. root of x^3-4),... (answered by scott8148)

The functions f and h are defined as follows: f(x) = (x + 5)/(x - 7) and h(x) = (x +... (answered by ikleyn)

Let f(x)=x^3 , g(x)= sqrt(x) , h(x)=x−4, and j(x)=2x. Express each function k as a... (answered by josgarithmetic)