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)

Respuesta :

Answer:

B

Step-by-step explanation:

[tex]f(x)=a^x[/tex]

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

That makes [tex]f(b) \cdot f(c) =(a^b)(a^c)=a^{b+c}[/tex].

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

[tex]a^{b+c}=f(b+c)[/tex]