Using the table given alongside, and from composite function property, f(g(0)) is -3.
What are composite functions ?
A composite function of two functions combines the given two functions in a specific order. For any given two functions f(x) and g(x), there can be two composite functions: f(g(x)) which is substituting g(x) into f(x) and g(f(x)) which is substituting f(x) into g(x).
How to find the given composite functions ?
We have to find the value of composite function f(g(0)).
Now from the table, g(0) = -1 as when the value of x = 0, then the value of g(x) = -1.
Now, we have to find f(-1),
Thus, f(-1) = -3 as when the value of x = -1, then the value of f(x) = -3.
∴ From composite function property f(g(0)) = -3
Therefore, by using the table given alongside, and from composite function property, f(g(0)) is -3.
To learn more about composite function, refer -
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