Question

Let f(x)=10^x. What is f(f(1))?

How many zeros does the number f(f(f(1))) have?

Show work please.

Answer 1

In a function f(x), x just represents the value past to the function. So for f(f(1)), the value of f(1) is being passed to f(x) again. For the "exterior" f(x) x = f(1). Solve at the inner most and work out.

Enough?

Answer 2

but as you "run the machine" twice, as in the first part of the problem, on the 2nd time through the machine f(x), the input is no longer just "x"... it's 10^x because that was the output of the machine f(x) on the first time through.

Part 2 of the problem asks you to run it 3 times.

Answer 3

I am going to be real simple just to demonstrate, x represents the value submitted to the formula. What is f(1) equal to?