someone8956
someone8956 someone8956
  • 14-06-2022
  • Mathematics
contestada

in Parity of function:
if f(x) odd and g(x)=f(x)+2 Then g(x) is:?
(a) Even
(b) odd
(c) neither odd nor Even ​

Respuesta :

profarouk profarouk
  • 14-06-2022

Answer:

(c) neither odd nor Even

Step-by-step explanation: ​

f(x) odd ⇒ f(-x) = - f(x)

⇒ g(-x) = f(-x) + 2  = - f(x) + 2

Since - f(x) + 2 ≠ - f(x) - 2  and   - f(x) + 2 ≠  f(x) + 2

Then     g(-x) ≠ - g(x)         and   g(-x) ≠ g(x)

Then g is neither  odd      nor    even

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