Function Composer | Tutero Mini-apps

One output becomes the next input

Follow the value through two function machines.

Compositiong ∘ f

start2x

first: f2x + 1

f(2)5becomes the next input

then: gx + 4

g(f(2))9final output

First stepf(2) = 2 × 2 + 1 = 5

Second stepg(5) = 5 + 4 = 9

Order matters

Starting with 2, g(f(x)) gives 9 while f(g(x)) gives 13.

g(f(2))9

f(g(2))13

Choose the rules

Function f Function g

Pick the order

Read right to leftg(f(x))

f acts first, then g acts on f's output.

Send in a value

Input, x2

Input-output table

g(f(x))

x	f(x)	g(f(x))

Tutor prompt

Can you predict when reversing the order will give the same result?