Respuesta :

wegnerkolmp2741o

Answer:

f(-5) = 1/ 243

Step-by-step explanation:

f(x) = 3^x

Let x=-5

f(-5) = 3^-5

Since the exponent is negative, it will move to the denominator

f(-5) = 1/3^5

f(-5) = 1/ 243

carlosego

For this case we have the following function:

[tex]f (x) = 3 ^ x[/tex]

We must evaluate the function for[tex]x = -5[/tex]

So, we have:

[tex]f (-5) = 3 ^ {-5}[/tex]

By definition of power properties it is fulfilled that:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Thus:

[tex]f (-5) = \frac {1} {3 ^ 5} = \frac {1} {3 * 3 * 3 * 3 * 3} = \frac {1} {243}[/tex]

Answer:

[tex]\frac {1} {243}[/tex]