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

Question

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

Grade 12 Advanced Functions

Please answer clearly and neatly. Thanks :)

Answer 1

Hi Math H. (cool name BTW :-))

Here's one example:

h(x) = log(x)

j(x) = -√x

The largest j(x) can be is 0. j(x) ≤0

The log of j(x) is not defined

h(j(x)) is not defined