Question

Help, I'll fan and medal
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = Four divided by x squared. + 9

Answer 1

Answers:
f(x) = x + 9, g(x) = Four divided by x squared.
f(x) = x, g(x) = Four divided by x. + 9
f(x) = One divided by x., g(x) = Four divided by x. + 9
f(x) = Four divided by x squared., g(x) = 9

Answer 2

Could you use the equation tool to write the question and answers? That way confusion can be prevented

Answer 3

Can you help? @Vocaloid I only have one more question after this one and I'll give you medals for both questions

Answer 4

\[A. f(x)=x+9, g(x)=4/x^2\]

Answer 5

\[B. f(x)=x g(x)=4/x +9\]

Answer 6

\[C. f(x)=1/x g(x)= 4/x+9\]

Answer 7

\[D. f(x)=4/x^{2} g(x)=9\]

Answer 8

basically, you want to write the function where g(x) can be inserted as x into f(x)

Answer 9

And \[y = \frac{ 4 }{ x^ {2} }+9\]?

Answer 10

I did that, but I'm still super confused

Answer 11

For example, in letter D, you would substitute 9^2 for x^2.
We can cancel out D since it would equal 4/81.
Does this make sense?

Answer 12

I think so

Answer 13

Yes, so then answer choice D is wrong?

Answer 14

D is incorrect.

Answer 15

Now let's look at A. Can you figure out whether it is right or wrong?

Answer 16

I think it's wrong

Answer 17

Substitute 4/x^2 into the f(x) equation. What do you get?

Answer 18

Ugh..I'm not sure, how do I figure it out again?

Answer 19

You plug in the value of the g(x) equation into the equation of f(x).
For example,
f(x)=1 + x and g(x)=4
If we were to simplify this, we would get 5 since we would substitute the g(x) value (a.k.a four) into the equation on the left.

Answer 20

So for A it would be 9/4?

Answer 21

\[A.f(x)=x+9, g(x)=4/x^ {2} \]
Let's plug in g(x) into the first equation
\[f(x)=g(x)+9\]
\[f(x)=\frac{ 4 }{ x^ {2} }+9\]

Answer 22

Does that make sense?

Answer 23

I think so

Answer 24

Yes, it does

Answer 25

@Aveline ??

Answer 26

...we've got the answer, don't we?

Answer 27

Yes, if I open a new question, can you help with my last one and I'll give you another medal? You're a life saver.

Answer 28

I just need you to check my answer

Answer 29

I'm sorry, but I'm in computer class right now and it ends in 3 minutes >-<
I'd love to help but I'm sure someone else will be willing to help you too :)

Answer 30

Okay, thanks anyways