Question

The Martians ask you to explain one last thing, Ultimate Math Ambassador. They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number. You will use this function (y= 2x+5)

Answer 1

@danieldjpon3

Answer 2

If anyone can help me i will be incredibly happy

Answer 3

Unless h(x) is the inverse function of f(x), the results of f(h(x)) and h(f(x)) will not be the same.

Let's take a concrete example. Let's say we were to create the function h(x) = 2x.

To compute f(h(x)), we compute h(x) first, then feed it into f(x):

Answer 4

h(x)=2x
f(x)=2x+5

Answer 5

So plug in h(x) into f(x) and we get:
f(h(x))=2(2x)+5
=4x+5

Answer 6

ok

Answer 7

hope that helped

Answer 8

im back

Answer 9

Hey it helped but let me know is that EXACTLY what i need to put in the answer?

Answer 10

yeah just put that it doesnt always result in the same number based on my explanation an youll be good