Answer:
A. H(x) is an inverse of F(x)
Step-by-step explanation:
The given functions are:



We compose F(x) and G(x) to get:






Hence G(x) is not an inverse of F(x).
We now compose H(x) and G(x).



We simplify to get:


Since
, H(x) is an inverse of F(x)
Answer:
x=5
Step-by-step explanation:
so to isolate the x you dived the -3 to both sides
so it will now be
x=5 because a negative times or divided by a negative equals a positive so to prove that x=5
-3(5)=-15
which is true
Time Distance Distance / Time
2hrs 90 miles 90 miles / 2 hrs = 45 miles / hr
3hrs 135 miles 135 miles / 3 hrs = 45 miles / hr
5hrs 225 miles 225 miles / 5 hrs = 45 miles / hr
6hrs 270 miles 270 miles / 6 hrs = 45 miles / hr
Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.
Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt
Constant of proportionality is k which is D/T
d = 45t