Question

will give medal if someone could pls explain steps im super confused
Find f(x) and g(x) so that the function can be described as y = f(g(x))
y = eight divided by x squared' + 2

Answer 1

Well hello there miss Jennifer :)
Is this what the function y looks like?\[\large\rm y=\frac{8}{x^2}+2\]

Answer 2

yes!

Answer 3

So we need to create this y using a composition.
Hmm let's be sneaky.
Let's start with something like this maybe,\[\large\rm \frac{8}{x}+2\]Hmmmm

Answer 4

How would we turn this expression into y?
What needs to happen?
We need to replace the x with something...
any ideas?

Answer 5

could we replace it with 2?

Answer 6

We're replacing the whole x,
hmm let's see what happens when we try that :)\[\large\rm \frac{8}{\color{orangered}{x}}+2\qquad\to\qquad \frac{8}{\color{orangered}{2}}+2\]Ooooo that didn't quite work out right, did it? :o

Answer 7

no it didnt

Answer 8

im so confused :(

Answer 9

This part shouldn't be confusing :( Hmm\[\large\rm \frac{8}{~}+2\]What's missing?