Is it possible for the function f (x) = 5 · 2x to have an output of 200? if so, what input gives this output? if not, justify why not?

Yes, the function can have an output of 200.

The value given by this output is obtained simply by clearing the value of x in the function:

f (x) = 5 · 2x

200 = 5 · 2x

Clearing x:

x = 200 / (5 * 2)

x = 20

Let's check:

f (x) = 5 · 2 (20)

f (x) = 5 · 40

f (x) = 200

Answer:

Yes, the function can have an output of 200.

x = 20 gives this output