Given the definitions of f(x) and g(a) below, find the value of (f og)(-4). f(x) = 3x2 – 5x – 4
g(x) = -4x – 12

To solve for (fog)-4)

Replace x in the g(x) equation with -4 and solve, then replace x in f(x) with the solution and solve for final answer.

G(x) = -4(-4) -12 = 16 -12 = 4

F(x) = 3(4)^2 -5(4) -4 = 48 -20 -4 = 24

The answer is 24

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

a is the right answer