Then show that3x + 3x-4. If the function f :R-R defined by f (x) =2f (

1.	Then show that3x + 3x-4. If the function f :R-R defined by f (x) =2f (x + y) + f (x - y) = 2f (x) f (y).
Answer» Step-by-step EXPLANATION: nth TERM of an A.P (an) = pn + q To find: Common DIFFERENCE (d) Proof: We know that, an = a + (n – 1)d ⇒ pn + q = a + (n – 1)d [given] ⇒ pn + q – a = (n – 1)d

Then show that3x + 3x-4. If the function f :R-R defined by f (x) =2f (x + y) + f (x - y) = 2f (x) f (y).

Answer»

Step-by-step EXPLANATION:

nth TERM of an A.P (an) = pn + q

To find: Common DIFFERENCE (d)

Proof: We know that,

an = a + (n – 1)d

⇒ pn + q = a + (n – 1)d [given]

⇒ pn + q – a = (n – 1)d

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Then show that3x + 3x-4. If the function f :R-R defined by f (x) =2f (x + y) + f (x - y) = 2f (x) f (y).​

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Then show that3x + 3x-4. If the function f :R-R defined by f (x) =2f (x + y) + f (x - y) = 2f (x) f (y).