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Byju's Answer
Standard XIII
Mathematics
How to Find the Inverse of a Function
Let f:R→R be ...
Question
Let
f
:
R
→
R
be defined as f(x) = 10x + 7. The function
g
:
R
→
R
such that gof = fog =
I
R
. Then g(2017) =
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Solution
We have, fog =
I
R
⇒
fog (x)=
I
R
(x) for all x
∈
R
⇒
f
(
g
(
x
)
)
=
x
⇒
10
g
(
x
)
+
7
=
x
⇒
g
(
x
)
=
x
−
7
10
∴
g
(
2017
)
=
2017
−
7
10
=
201
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Q.
Let
f
:
R
→
R
be defined as f(x) = 10x + 7. The function
g
:
R
→
R
such that gof = fog =
I
R
. Then g(2017) =