Question

For exponential functions of the form f(x)=a^x which of the fallowing expressions is equal to f(b)*f(c)

A. F(b^c)
B. F(b+c)
C. F(b*c)

Answer 1

B

Explanation:

`f(x)=a^x`

x is the exponent, so
`f(b)=a^b \text{ and }f(c)=a^c`.

That makes
`f(b) \cdot f(c) =(a^b)(a^c)=a^(b+c)`.

b + c is the exponent, so it takes the place of x.

`a^(b+c)=f(b+c)`