if function f satisfies f(x+1/x) =x^2 +1/x^2 then f(3)is
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Answer:
If f(x)=x
2
, f(x+
x
1
)=(x+
x
1
)
2
=x
2
+2+
x
2
1
If f(x)=x
2
+2, f(x+
x
1
)=(x+
x
1
)
2
+2=x
2
+4+
x
2
1
If f(x)=x
2
−2, f(x+
x
1
)=(x+
x
1
)
2
−2=x
2
+
x
2
1
If f(x)=x
3
−3x, f(x+
x
1
)=(x+
x
1
)
3
−3(x+
x
1
)=x
3
+3x+3
x
1
+
x
3
1
−3(x+
x
1
)=x
3
+
x
3
1
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