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Byju's Answer
Standard XII
Mathematics
Definition of Function
Prove that th...
Question
Prove that the function
f
:
[
0
,
∝
)
→
R
given by
f
(
x
)
=
9
x
2
+
6
x
−
5
is not invertible.
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Solution
The Quadratic Equation is not a One One function
⟹
it is not Bijective as well so this is not invertible
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Similar questions
Q.
Prove that the function
f
:
[
0
,
∞
)
→
R
given by
f
(
x
)
=
9
x
2
+
6
x
−
5
is not invertible. Modify the codomain of the function f to make it invertible, and hence find
f
−
1
.
Q.
Prove that the function
f
[
0
,
∞
)
→
R
given by
f
(
x
)
=
9
x
2
+
6
x
−
5
is not the codomain of the function f to make it invertible, and hence find
f
′
Q.
Let
f
:
[
0
,
∞
)
→
R
be a function defined by
f
(
x
)
=
9
x
2
+
6
x
−
5
. Prove that
f
is not invertible and then find its inverse.
Q.
Consider f : R + → [−5, ∞ ) given by f ( x ) = 9 x 2 + 6 x − 5. Show that f is invertible with .
Q.
Consider
f
:
R
+
∈
[
−
5
,
∞
)
given by
f
(
x
)
=
9
x
2
+
6
x
−
5
. Show that
f
is invertible with
f
−
1
(
y
)
=
(
(
√
y
+
6
)
−
1
3
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Definition of Function
Standard XII Mathematics
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