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

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2