JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

Let

f

be a non-zero continuous function satisfying

f(x+y)=f(x) f(y)

for all

x, y \in \mathbf{R}

. If

f(2)=9

then

f(3)

View answer and explanation

Correct option: B

Option B (27) is correct because the function f(x) is an exponential function, and given f(2)=9, we can determine that f(x) = 3^x, thus f(3) = 27.

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