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National and Regional Contests
India Contests
Mathematics Talent Reward Programme (MTRP)
2013 MTRP Senior
5
5
Part of
2013 MTRP Senior
Problems
(1)
MTRP 2013 Senior Paper Question 5
Source:
1/14/2024
A function f :
R
R
R
→
\rightarrow
→
R
R
R
satisfies the property
f
(
x
2
)
−
f
2
(
x
)
≥
1
/
4
f(x^2) - f^2(x) \geq 1/4
f
(
x
2
)
−
f
2
(
x
)
≥
1/4
for all x. Verify if the function is one-one.
MTRP
2013