If f(x) = 3^1+x, then f(x) f(y) f(z) is equal to

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

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Answer 1

Calculation:

Given: f(x) = 3^{1+ x}
Then,

⇒ f(y) = 3^{1+ y}

⇒ f(z) = 3^{1+ z}

We have to find out value of f(x) f(y) f(z),

⇒ 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)