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National High School Mathematics League
1993 National High School Mathematics League
2
A Function
A Function
Source: 1993 National High School Mathematics League, Exam One, Problem 2
February 27, 2020
function
Problem Statement
f
(
x
)
=
a
sin
x
+
b
x
3
+
4
f(x)=a\sin x+b\sqrt[3]{x}+4
f
(
x
)
=
a
sin
x
+
b
3
x
+
4
. If
f
(
lg
log
3
10
)
=
5
f(\lg\log_{3}10)=5
f
(
l
g
lo
g
3
10
)
=
5
, then the value of
f
(
lg
lg
3
)
f(\lg\lg 3)
f
(
l
g
l
g
3
)
is
(A)
−
5
(B)
−
3
(C)
3
(D)
\text{(A)}-5\qquad\text{(B)}-3\qquad\text{(C)}3\qquad\text{(D)}
(A)
−
5
(B)
−
3
(C)
3
(D)
not sure
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