Composite Functions with a function with two ranges

Please help me with this problem!! Thank you in advance!!

2 个评论

This does not appear to be a MATLAB question. You simply need to plug the results of one function into the other function and simplify to get the requested expressions.
But g(x) has two different functions with two different ranges. What to do about that??

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回答(1 个)

For example, take the first one:
(g o f)(x)
This is just g(f(x)) which is g(x^2)
Assuming we are talking only about real inputs, x^2 is always non-negative. And when the input to g( ) is non-negative, the result is 3 times the input. So when you plug in x^2 to g( ) you simply need to multiply it by 3 to get the output. So the output is 3 times x^2.
Do the same analyses for the other parts of the assignment. You will need to consider each part of g( ) separately.

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