thavachelvanrekan thavachelvanrekan
  • 15-12-2021
  • Mathematics
contestada


Prove algebraically that 7(n+2) – 3(n + 4) is always even

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Snor1ax
Snor1ax Snor1ax
  • 15-12-2021

Answer: The function is neither even nor odd

Step-by-step explanation:

Expanded: f(n) = 7n+14-3n-12

f(n)

f(n) = 7n+14-3n-12

= 4n + 2

f(-x)

= 4(-n) + 2

= -4n + 2

-f(n)

=-(4n+2)

=-4n -2

f (x) does not equal f(-x)

-f(x) does not equal f(-x)

Therefore, the function is neither even nor odd

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