Answer:

Step-by-step explanation:
find the least common denominator for both fractions then combine them to find:

Answer:
The given statement is true.
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.
This statement is true.
The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.
Answer:
Step-by-step explanation:
I'm not sure I know exactly what that [1] means.
But here's how you get the answer
g(x) = 3x + 12
The symbolism means that wherever you see an x on the right side of g(x) you put f(x)
So it looks like this
g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.
g(f(x)) = 3(2x + 7) + 12 Remove the brackets
g(f(x)) = 6x + 21 + 12
g(f(x)) = 6x + 33
Now you deal with the x on the left. It becomes - 6
g(f(-6)) = 6(-6) + 33
g(f(-6)) = -36 + 33
g(f(-6)) = - 3
Rule 1
(g · f)(x)
has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.