Answer:

Step-by-step explanation:
The equation of a circle is given by
, where
is the center of the circle and
is the radius of the circle.
From the diagram, we can find the following:
- the radius of the circle is 4
- the center of the circle is located at (1,6)
Thus, we have:

Answer:
B. f(g(x)) = -10x + 8
Step-by-step explanation:
When evaluating f(g(x)), substitute what g(x) is in place of g(x).
So instead of
f(g(x))
the function would be:
f(-5x + 6).
Now all you have to do is evaluate this.
To evaluate this function, substitute the value inside the f(x) for all instances of x in the equation.
f(x) = 2x - 4
f(-5x + 6) = 2(-5x + 6) - 4
f(-5x + 6) = -10x + 12 - 4
f(-5x + 6) = -10x + 8
Therefore, f(g(x)) = -10x + 8.