If f(x + y)=f(x)+f(y), f(4)=16 then what is the value of f(15)?
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Given,
f(4) = 16
f(2+2) = 16
f(2)+f(2) = 16
2f(2)=16
f(1+1)=8
f(1)+f(1)=8
f(1) = 4 .
Also, f(15)
= f(12)+f(3)
= f(8+4)+f(2+1)
=f(8)+f(4)+f(2)+f(1)
= f(4)+f(4)+f(4)+f(1)+f(1)+f(1)
= 3f(4)+3f(1)
= 3 [ f(4)+f(1) ]
= 3 [ 16 + 4 ]
= 3 (20)
= 60 .
Therefore, f(15)=60
f(4) = 16
f(2+2) = 16
f(2)+f(2) = 16
2f(2)=16
f(1+1)=8
f(1)+f(1)=8
f(1) = 4 .
Also, f(15)
= f(12)+f(3)
= f(8+4)+f(2+1)
=f(8)+f(4)+f(2)+f(1)
= f(4)+f(4)+f(4)+f(1)+f(1)+f(1)
= 3f(4)+3f(1)
= 3 [ f(4)+f(1) ]
= 3 [ 16 + 4 ]
= 3 (20)
= 60 .
Therefore, f(15)=60
venkatakarthikp4icgs:
Thank you so much
Answered by
0
Answer:
hey dude
here is your answer
Given,
f(4) = 16
f(2+2) = 16
f(2)+f(2) = 16
2f(2)=16
f(1+1)=8
f(1)+f(1)=8
f(1) = 4 .
Also, f(15)
= f(12)+f(3)
= f(8+4)+f(2+1)
=f(8)+f(4)+f(2)+f(1)
= f(4)+f(4)+f(4)+f(1)+f(1)+f(1)
= 3f(4)+3f(1)
= 3 [ f(4)+f(1) ]
= 3 [ 16 + 4 ]
= 3 (20)
= 60 .
Step-by-step explanation:
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