Question

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?

Answer 1

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