Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?

a. g(x) = 6x + 1
b. g(x) = 6x − 1
c. g(x) = 8x + 15
d. g(x) = 8x − 15

Option D.

Step-by-step explanation:

You have the following function :

According to the information provided in the exercise, the function is:

You can follow these steps in order to find :

1. First, let's find . This is:

2. Therefore, you since , then is:

Notice that this matches with Option D.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204