To express the function H(x) = |4 - x^3| in the form f ∘ g, we need to find two functions f(x) and g(x) such that when g(x) is plugged into f(x), we get H(x).

Let's define the functions as follows:

g(x) = 4 - x^3
f(x) = |x|

Here, g(x) is the inner function that gets plugged into f(x). If you substitute g(x) into f(x), you get f(g(x)) = f(4 - x^3) = |4 - x^3|, which is the original function H(x).

So, the functions f(x) and g(x) are |x| and 4 - x^3 respectively.

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To express the function H(x) = |4 - x^3| in the form f ∘ g, we need to find two functions f(x) and g(x) such that when g(x) is plugged into f(x), we get H(x).

Let's define the functions as follows:

g(x) = 4 - x^3
f(x) = |x|

Here, g(x) is the inner function that gets plugged into f(x). If you substitute g(x) into f(x), you get f(g(x)) = f(4 - x^3) = |4 - x^3|, which is the original function H(x).

So, the functions f(x) and g(x) are |x| and 4 - x^3 respectively.

Knowee AI · Accepted Answer

To express the function H(x) = |4 - x^3| in the form f ∘ g, we need to find two functions f(x) and g(x) such that when g(x) is plugged into f(x), we get H(x).

Let's define the functions as follows:

g(x) = 4 - x^3
f(x) = |x|

Here, g(x) is the inner function that gets plugged into f(x). If you substitute g(x) into f(x), you get f(g(x)) = f(4 - x^3) = |4 - x^3|, which is the original function H(x).

So, the functions f(x) and g(x) are |x| and 4 - x^3 respectively.

Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).)H(x) = |4 − x3|(f(x), g(x)) =

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