SOLUTION: Create two functions h(x) and j(x) so that the composed function (h x j)(x) does not exist. Explain your answer.
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-> SOLUTION: Create two functions h(x) and j(x) so that the composed function (h x j)(x) does not exist. Explain your answer.
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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(52925) (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.
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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.
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.
