116. f(x) = ax⁷+bx³+cx-5
where a, b, care constants. If them, 17) equal to
11
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1
−17 is the answer........
explanation:
Consider the given function.
f(x)=ax
7
+bx
3
+cx−5
Since, f(−7)=7
So,
f(−7)=a(−7)
7
+b(−7)
3
+c(−7)−5=7
−7
7
a−7
3
b−7c−5=7
−(7
7
a+7
3
b+7c+5)=7
7
7
a+7
3
b+7c+5=−7
7
7
a+7
3
b+7c=−12 ............(1)
Put x=7
f(7)=a(7)
7
+b(7)
3
+c(7)−5
f(7)=7
7
a+7
3
b+7c−5
f(7)=−12−5 from equation (1)
f(7)=−17
Hence, this is the answer.
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