(a) Since
and
, we have

We're given that

but we can rewrite this as

(bear in mind that we can only do this so long as <em>x</em> ≠ 0) so it follows that

(b) On its own, we may be tempted to conclude that the domain of
is simply <em>x</em> ≠ -1. But we should be more careful. The domain of a composite depends on each of the component functions involved.
is defined for all <em>x</em> - no issue here.
is defined for all <em>x</em> ≠ 0. Then
also has a domain of <em>x</em> ≠ 0.
is defined for all <em>x</em> ≠ -1, but

is undefined not only at <em>x</em> = -1, but also at <em>x</em> = 0. So the domain of
is

Answer:
y = 240.3 ft to the nearest tenth.
Step-by-step explanation:
The bottom left angle = 31 degrees ( interior alternate angles).
tan 31 = y / 400
y = 400 tan 31
y = 240.34 ft.
Answer:
A. No it is not proportional.
B. The price goes up then down, and all years equal the same amount per student.
C. Constant proportionality starts at (0,0) and is constantly increasing.
D. $1,800 15×120=1,800
E. 95 students because 1,425÷15=95