Question

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)

Answer 1

Answer:

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