2.7 q9
the functions f and g are defined by the following tables. use the tables to evaluate the given composite function.

The value of is -2.

Step-by-step explanation:

Given,

The table contains the functional value of f(x) and g(x).

To find:  

is a composite function of f(x) and g(x).

Clearly from the table, the value of f(x) when is 3.

Therefore,

Now,

Clearly from the table, the value of g(x) when is -2.

Thus,

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Step-by-step explanation:

By definition, a composite function is a function formed by substituing one function into another function.

Given the composite function:

You can rewrite it in the following form:

In order to evaluate it, follow these steps:

- Based on the table of the function f(x), the ouput value for is . Then:

- This will be the input of the function g(x).

- Notice in the table of the function g(x) that the output value when is :

Therefore:

or

step-by-step explanation:

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