(fog)(x) and (gof)(x) f(x)= 8/1-5x g(x)= 1/x then find the domain for each

To find FoG ( or F of G) you put the equation of G in for the X of F

FoG =    The domain is All Except 5 since it makes the bottom 0

GoF =  The domain is -Infinity to Infinity

FoG ---  The picture --- You want the denominator the same for both of the numbers. By turning 1 into 1x/x it still stays 1 because the x's cancel out, but it can group with the 5.

Next you can multiply both sides (top and bottom) by x and get the final product.

GoF --- Multiply both sides by 5x+1 and get the final product 

Student B is correct.

Step-by-step explanation:

To construct a parallel line following steps should be followed,

1). Draw a line that intersects at B and C.

2). Place a compass at point B and swing an arc that crosses line AB and BC.

   Label the points D and E.

3). Keep the compass at the same width and place it on point C.

4). Swing an arc that crosses line BC at F.

5). Open the compass to the width between points D and E.

6). Keeping the compass at the same width, place it on point F.

7). Swing an arc that intersect the arc created from line BC at point C.

8). Mark the intersection of two arcs as point G.

9). Draw a line through point C and G.

Student B is correct.