IGCSE: SPM: Add Math: Function: 01 Inverse Function
Given that

f -1
f (2) =

(11) = 2
Given that

f -1
f (-1) =

(2) = -1
Given that

f (8) =-7

f -1
(     ) = 8
the inverse is
since
Given that

f -1
f (11) =
f -1
(x) = 2x + 5
(3) =
hence the inverse is
since
Given that

f -1
f -1
f (9) =
(x) = 2x + 5
(    ) =9
and
Given that
since
f (-4) =-3
f -1
f -1
f
(x) = ax + 5
(-3) =
(-4) = -3
find
a ?
therefore
and
Given that
since
f (-4) =-3
a(    ) + 5 = -4
f -1
f -1
(x) = ax + 5
f
(-3) = -4
(-4) = -3
a=
find
a ?
therefore
and
Given that
since
f (6) =2
b( 2   ) -2 = 6
f -1
f -1
(x) = bx - 2
f
(2) = 6
(6) = 2
b=
find
b ?
and
Given that
f (-5) =-1
f -1
g=
(x) = gx - 3
find
g ?
and
Given that
f -1(15) =2
f
k=
(x) = 5-kx
find
k ?
find
Let y=
Given that
therefore
f -1(7)
x=
f
5-2x
(x) = 5-2x
A.
B.
C.
Choose  the correct answer
A.
B.
5-y
y-5
2
2
C.
5-2
y
find
Let y=
f -1
Given that
so
(x)=
f -1(7)
f
5-2x
5-x
(x) = 5-2x
2
therefore
=
f -1
(7)
find
Let y=
Given that
therefore
f -1(-6)
x=
f
7x+1
(x) = 7x +1
A.
B.
C
Choose  the correct answer
A.
B.
1-y
y-7
7
1
C.
y-1
7
Given that
find
f -1(-6)
f -1(x)
f -1(-6)
f
(x) = 7x +1
=
=
-
Given that
find
f -1(5)
f -1(x)
f -1(5)
f
(x) = 4x -3
=
=
Given that
find
f -1(5)
f -1(5)
f
(x) = 2x -7
=
Given that
find
f -1(-4)
g
g -1(-4)
(x) = 3 -7x
=
Given that
find
g(7)
g
=
(7) ?
g -1(-4)
=
7
Given that
find
h -1(-4)
h -1(-4)
=
h
(x) =
3-2x
2
h
Given that
(x) =
h -1(-2)
x+1
3
find
=
;x
h -1(-2)
-1
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