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Alg2: Inverse Functions
Contributed by: DiLaura
(Original author: Owoyemi)
A
B
C
D
Find the inverse of the function
f(x) = x - 9
f     (x)  = -x - 9
f     (x)  = x + 9
f    (x)   = x - 9
f-1 (x)   = x/9
-1
-1
-1
A
B
C
D
Find the inverse of the function
f     (x)  = (x - 3)2
f     (x)  = x2 - 3
f     (x)  = (x2 + 3)
f-1  (x)  = (x2 - 3)
-1
-1
-1
Find the inverse of the function
f(x) = x2 - 1, x ≥ 0
A
B
C
D
Find the inverse of the function
f(x) = (x + 4)2  , x ≥ 0
A
B
C
D
Find the inverse of the function
f(x) = 2(x+1)2 
A
B
C
D
A
B
C
D
Find the inverse of the function
f(x) = 2x - 5
f     (x)  = ½(x - 5)
f     (x)  = ½(x + 5)
f    (x)   = ½x + 5
f-1 (x)   = 2x - 5
-1
-1
-1
Find the domain and range of the INVERSE of the following function 
D: {2,3,5}  and R:{-2,-1,1,9}
D: {-1,8,1,-2} and D:{2,3,5}
D:{-2,3,5} and R:{3,2,5}
D:{2,3,5} and R:{-2,1,8}
Yes, the inverse is a function.
No, the inverse is not a
function.
Determine whether or not
the inverse of this function
is a function?
Consider f(x) = | x - 2|
Restrict the domain off(x) so that f-1(x) isa function.
x ≥ 0
x ≤ 0
 x ≥ 2
x≥ -2
What test is used to determine if the INVERSE relation
will be a function or not?
Dotted line test
y = x line test
Vertical line test
Horizontal line test
Will the inverse of this relation graphed below bea function or not?
Yes, Function
No, Not a function
D: {-5,-2,-1,2}  
D: {-2,-1,2,4} 
D: {-4,-2,-1,2}
D: {-2,-1,1,3}
Find the domain of the INVERSE of the followingfunction
D: {-5,-2,-1,2}  
D: {-2,-1,2,4} 
D: {-4,-2,-1,2}
D: {-2,-1,1,3}
Find the range of the inverse of the followingfunction
Which of the following equations has
an inverse that is NOT a function.
 y = x
 y = x3
 y = x2
 y = √x
True or False?
The inverse of the relation shown below
is a function?
True
False
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