Let f and g be functions satisfying... | Functions | JEE Main 2026

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JEE MAIN 2026

22-01-2026 S2

Question

Let $f$ and $g$ be functions satisfying $f(x+y)=f(x) f(y), f(1)=7$ and $g(x+y)=g(x y), g(1)=1$, for all $x, y \in \mathbf{N}$. If $\sum_{x=1}^{\mathrm{n}}\left(\frac{f(x)}{g(x)}\right)=19607$, then n is equal to:

Select the correct option:

A

7

B

4

C

6

D

5

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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