Composite Functions with a function with two ranges
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Please help me with this problem!! Thank you in advance!!
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James Tursa
le 9 Sep 2020
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.
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James Tursa
le 10 Sep 2020
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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