Answer:

Step-by-step explanation:
By definition composite function would be:

Then, if g(2)=3 and f(3)=16, therefore for f(g(x)):
Answer:
m is 3 since it's the slope and b is -2 since its the y-intercept
Step-by-step explanation:
the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.
Answer:
Carlos is incorrect.
Step-by-step explanation:
We have been given that a line through the origin has a slope of
. Carlos thinks the slope of a perpendicular line at the origin will be 3.
We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.
The slope of the perpendicular line at the origin will be negative reciprocal of
.
Let us find negative reciprocal of
as:

Since the slope of a perpendicular line at the origin is
, therefore, Carlos is incorrect.