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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Let f:R→ R ...
Question
Let
f
:
R
→
R
be defined as
f
(
x
)
=
10
x
+
7
. Find the function
g
:
R
→
R
such that
g
o
f
=
f
o
g
=
I
R
.
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Solution
Clearly,
g
=
f
−
1
Now, let
y
=
f
(
x
)
=
10
x
+
7
.
Then,
x
=
y
−
7
10
Hence,
g
:
R
→
R
given by
g
(
x
)
=
x
−
7
10
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