यदि f (x) = 3 ^{1 + x} है, तब f (x) f (y) f (z) किसके बराबर है

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NDA (Held On: 21 Apr 2019) Maths Previous Year paper

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Answer 1

गणना :

दिया गया: f (x) = 3 ^{1+ x}
फिर,

⇒ f (y) = 3 ^{1+ y}

⇒ f (z) = 3 ^{1+ z}

हमें f (x) f (y) f (z) का मान ज्ञात करना होगा,

⇒ f (x) f (y) f (z) = 3 ^{1+ x} × 3 ^{1+ y} × 3 ^{1+ z}

⇒ f (x) f (y) f (z) = 3 ^{3+ x + y + z} = 3 ^{1 + 2 + x + y + z} = f (x + y + z + 2)