F (x) = a^x which of the following expressions is equal to f (3) * f (4)

f (3^4)

f (3+4)

F (3*4)

option 2

f (3+4)

Step-by-step explanation:

To understand this problem, what we can do is solve and compare with the results they give us.

f (x) = a^x f (3) * f (4)

f (3) = a^ (3) f (4) = a^ (4)

we replace

f (3) * f (4) = a^3 * a^4

as they are powers of the same base

f (3) * f (4) = a^ (3+4)

f (3) * f (4) = a^7

Now let's do it with the options they give us

1. f (3^4) f (x) = a^x

3^4 = 81 x = 81

f (81) = a^81 wrong option

2. f (3+4) f (x) = a^x

3+4 = 7 x = 7

f (7) = a^7 correct option

3. f (3*4) f (x) = a^x

3*4 = 12 x = 12

f (12) = a^12 wrong option