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
on 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.
Answers (1)
James Tursa
on 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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