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Find the inverse of each relation.
To find the inverse, exchange the coordinates of the ordered pairs.
(4, ± ĺ ±
(±8, ± ĺ ±18, ±8)
(±2, ± ĺ ±16.5, ±2)
(3, ± ĺ ±15.25, 3)
The inverse is {(í15, 4), (í18, í8), (í16.5, í2), (í15.25, 3)}.
Write the coordinates as ordered pairs. Then exchange the coordinates.
(± ĺ ±3)
ĺ
ĺ
(6, ± ĺ ±12.5, 6)
The inverse is {(11.8, í3), (3.7, 0), (1, 1), (í12.5, 6)}.
Graph the inverse of each relation.
Graph the inverse of each relation.
The graph of the relation passes through the points at (-5, 1), (0, 2), and (5, 3).
To find points through which the inverse passes, exchange the coordinates of the ordered pairs
(± ĺ ±
ĺ
ĺ
Graph these points and then draw a line that passes through them.
Find the inverse of each function.
f ( x ) = ± 2 x + 7
Write the final equation in slope-LQWHUFHSWIRUP
So,.
Write the final equation in slope-intercept form. So,.
CCSS REASONING Dwayne and his brother purchase season tickets to the Cleveland Crusaders games. The
ticket package requires a one-time purchase of a personal seat license costing $1200 for two seats. A ticket to each
game costs $70. The cost C ( x ) in dollars for Dwayne for the first season is C ( x ) = 600 + 70 x , where x is the number
of games Dwayne attends.
a. Find the inverse function.
b. What do x and C
± 1
( x ) represent in the context of the inverse function?
c. How many games did Dwayne attend if his total cost for the season was $950?
a.
b. x is Dwayne¶s total cost, and C
( x ) is the number of games Dwayne attended.
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Write the coordinates as ordered pairs. Then exchange the coordinates of each pair.
(±8, ± ĺ ±36.4, ±8)
(±2, ± ĺ ±15.4, ±2)
(1, ± ĺ ±4.9, 1)
ĺ
ĺ
The inverse is {(±36.4, ±8), (±15.4, ±2), (±4.9, 1), (9.1, 5), (30.1, 11)}.
Write the coordinates as ordered pairs. Then exchange the coordinates of each pair.
(± ĺ ±3)
(± ĺ ±
ĺ
(3, ± ĺ ±2.8, 3)
(5, ± ĺ ±6.2, 5)
The inverse is {(7.4, ±3), (4, ±1), (0.6, 1), (±2.8, 3), (±6.2, 5)}.
Graph the inverse of each relation.
Graph the inverse of each relation.
The graph of the relation passes through the points at (±3, ±2), (0, ±1), and (3, 0).
To find points through which the inverse passes, exchange the coordinates of the ordered pairs
(±3, ± ĺ ±2, ±3)
(0, ± ĺ ±
ĺ
Graph these points and then draw a line that passes through them.
Find the inverse of each function.
f ( x ) = 25 + 4 x
Write the final equation in slope-LQWHUFHSWIRUP
So,.
So,.
f ( x ) = 4( x + 17)
f ( x ) = 4( x + 17)
Write the final equation in slope-LQWHUFHSWIRUP
So,.
f ( x ) = 12 ± 6 x
Write the final equation in slope-LQWHUFHSWIRUP
So,.
DOWNLOADS
An online music subscription service allows members to download songs for $0.99 each after
DOWNLOADS
An online music subscription service allows members to download songs for $0.99 each after
paying a monthly service charge of $3.99. The total monthly cost C ( x ) of the service in dollars is C ( x ) = 3.99 +
0.99 x , where x is the number of songs downloaded.
a. )LQGWKHLQYHUVHIXQFWLRQ
b. What do x and C
± 1
( x ) represent in the context of the inverse function?
c. How many songs were downloaded if a member¶s monthly bill is $27.75?
a.
b. x is the total monthly cost of the service, and C
( x ) is the number of songs downloaded.
c. Evaluate C
So, 24 songs were downloaded.
LANDSCAPING
At the start of the mowing season, Chuck collects a one-time maintenance fee of $10 from his
Write the inverse of each equation in f
± 1
( x ) notation.
3 y ± 12 x = ± 72
x + 5 y = 15
±42 + 6 y = x
3 y + 24 = 2 x
3 y ± x = 3
CCSS TOOLS Match each function with the graph of its inverse.
f ( x ) = 4 x + 4
This equation is shown on graph B.
This equation is shown on graph C.
This equation is shown on graph A.
Write an equation for the inverse function f
- 1
( x ) that satisfies the given conditions.
Write an equation for the inverse function f
- 1
( x ) that satisfies the given conditions.
slope of f ( x ) is 7; graph of f
± 1
( x ) contains the point (13, 1)
Write an equation for f ( x ) in terms of x
and y.
Find the inverse of f ( x ).
graph of f ( x ) contains the points (í3, 6) and (6, 12)
