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

Answer Link

Otras preguntas

what is the body's first defence against infection and viruses A: saliva, mucus, and hairsB:antibodies C:lymphocytes D: lymph nodes
The price of one share of a company declined $0.50 per day for 4 days in a row. What is the overall change in the price of one share? You may find using a numbe
Mendel's hypothesis is supported by the observation that
Gravity is affected by... A) force B) force and distance C) force and mass D) mass and distance
SOME BODY ANYBODY HELP
The Harappan civilization owes its development in large part to which geographical feature? A. The Andes Mountains. B.The Indus River. C. The Fertile Crescent.
roberta is thinking about joining the food co op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there. How much must she
Rachel bought a table on sale for $627 . This price was 24% less than the original price.
How did the spread of the ottoman empire affect european trade? a.europeans had to cut off asian trade entirely, as the ottoman empire began converting europea
(4x3 + 2x2 + 50)/(2x + 5)