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Question 194 - Algebra Practice | Prasnya
Q194
00:00
27 Nov 2022
Q194.
Let
r
r
r
be a real number and
f
(
x
)
=
{
2
x
−
r
if
x
≥
r
r
if
x
<
r
f(x) = \begin{cases} 2x-r & \text{if } x \ge r \\ r & \text{if } x < r \end{cases}
f
(
x
)
=
{
2
x
−
r
r
if
x
≥
r
if
x
<
r
. Then, the equation
f
(
x
)
=
f
(
f
(
x
)
)
f(x) = f(f(x))
f
(
x
)
=
f
(
f
(
x
))
holds for all real values of
x
x
x
where.
A
x
≤
r
x \le r
x
≤
r
B
x
≥
r
x \ge r
x
≥
r
C
x
≠
r
x \ne r
x
=
r
D
x
>
r
x > r
x
>
r
Save
Check
Details
Q194
00:00
27 Nov 2022
Q194.
Let
r
r
r
be a real number and
f
(
x
)
=
{
2
x
−
r
if
x
≥
r
r
if
x
<
r
f(x) = \begin{cases} 2x-r & \text{if } x \ge r \\ r & \text{if } x < r \end{cases}
f
(
x
)
=
{
2
x
−
r
r
if
x
≥
r
if
x
<
r
. Then, the equation
f
(
x
)
=
f
(
f
(
x
)
)
f(x) = f(f(x))
f
(
x
)
=
f
(
f
(
x
))
holds for all real values of
x
x
x
where.
A
x
≤
r
x \le r
x
≤
r
B
x
≥
r
x \ge r
x
≥
r
C
x
≠
r
x \ne r
x
=
r
D
x
>
r
x > r
x
>
r
Save
Check
Details
