(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y

= y
Answer for (a):
=
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
= 
(c)

replace all t's in the

equation with

=

=

=

=
Answer for (c):
= 
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y

= y
Answer for (e): inverse of h(g(t)) =
Answer:
The number of miles/the number of hours
Step-by-step explanation:
If the number of hours is not equal to 1, multiply the numerator and denominator by the inverse of the number of hours.
For example, 10 (miles)/2 (hours)
The inverse of 2 is 1/2, so --> the new equation is 10/2 * 1/2 / 1/2 or
10* 1/2 and 2 * 1/2
When multiplied out, this leads to 5/1 or 5 miles per hour
Answer:
Original price of ticket = $12.5
Step-by-step explanation:
Given:
8% amount = $1
Find:
Original price of ticket
Computation:
Original price of ticket = 1(100/8)
Original price of ticket = $12.5