+130511 Let 
and 
. Find 
if 
for all 
.
(f o g)(x) says to take the function "g" and put it into "f"...so we have
2[3x + c ] + 7 =
6x + 2c + 7
(g o f)(x) says....wait for it......to take "f" and put it into "g"....so we have
3[2x + 7] + c = 6x + 21 + c
And we want to set these equal and solve for c
6x + 2c + 7 = 6x + 21 + c subtract 6x from both sides
2c + 7 = 21 + c subtract c, 7 from both sides
c = 14
+130511 Let and . Find if for all .
(f o g)(x) says to take the function "g" and put it into "f"...so we have
2[3x + c ] + 7 =
6x + 2c + 7
(g o f)(x) says....wait for it......to take "f" and put it into "g"....so we have
3[2x + 7] + c = 6x + 21 + c
And we want to set these equal and solve for c
6x + 2c + 7 = 6x + 21 + c subtract 6x from both sides
2c + 7 = 21 + c subtract c, 7 from both sides
c = 14
