Question 9.

If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) - f(-10) is equal to

A

3

B

0

C

14.0625

D

15.9375

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Text Explanation

The given function is equivalent to f(x) = $a^x$

Given, f(5) = 4

=> $a^5$ = 4 => a = $4^{1/5}$

=> f(x) = $4^{x/5}$

f(10) - f(-10) = 16 - 1/16 = 15.9375

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