Let f(x) = -2x + 7 and g(x) = -6x + 3. find f. g and state its domain.

Both functions are polynomials, so they are defined everywhere.

When you compute the composite function , you want to give the output of as input to .

So, the workflow is the following:

1. Choose a number x.

2. Compute g(x). This is a new number, say z.

3. Compute f(z).

As we already stated, since f is a polynomial, it accepts every real number as input, so we must not worry about what the output of g will be. This means that the domain of the composite function is still .

As for the composite function itself, we have

step-by-step explanation:

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step-by-step explanation: