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Byju's Answer
Standard XII
Mathematics
Real Valued Functions
If f: R→ R ...
Question
If
f
:
R
→
R
is defined by
⎧
⎪
⎨
⎪
⎩
x
+
2
x
≤
−
1
x
3
−
1
≤
x
≤
1
2
−
x
x
≥
1
, find the product
f
(
−
0.5
)
f
(
−
3
)
.
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Solution
For
−
1
≤
x
≤
1
f
(
x
)
=
x
3
⇒
f
(
−
.5
)
=
(
−
.5
)
3
=
−
.125
For
x
≤
−
1
⇒
f
(
−
3
)
=
−
3
+
2
=
−
1
⇒
f
(
−
.5
)
f
(
−
3
)
=
(
−
.125
)
(
−
1
)
=
.125
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0
Similar questions
Q.
Let
f
:
R
→
R
be defined by
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
x
+
2
(
x
≤
−
1
)
x
2
(
−
1
<
x
<
1
)
2
−
x
(
x
≥
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)
then the value of
f
(
−
1
)
+
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(
0
)
+
f
(
1
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is
Q.
Let
f
:
R
→
R
be defined by
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
x
+
2
x
≤
−
1
x
2
−
1
<
x
<
1
2
−
x
x
≥
1
then the value of
f
(
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1.75
)
+
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(
0.5
)
+
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)
is
Q.
Let
f
:
R
→
be defined by
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
x
+
2
(
x
≤
−
1
)
x
2
(
−
1
≤
x
≤
1
)
2
−
x
(
x
≥
1
)
Find the value of
f
(
−
1.75
)
+
f
(
0.5
)
+
f
(
1.5
)
.
Q.
If
f
:
R
→
R
is defined by
f
(
x
)
=
2
x
+
1
3
then
f
−
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(
x
)
=
Q.
Let
f
:
R
→
R
be defined by
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(
x
)
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4
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.
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