Question

Please help to find f ○ g

Answer 1

f(x)=5/x and 2x^2+5x

Answer 2

@mathmale @Jaynator495 @ShadowLegendX

Answer 3

Hello! Appreciate your contributions to OpenStudy.
So, you want to find the composition of f(x) and g(x), in that order?

Answer 4

I don't see that you've defined g(x). Did you mean g(x)+2x^2+5x?

Answer 5

yeah g(x)=2x^2+5x

Answer 6

trying to find two numbers not in the domain

Answer 7

I know one is 0

Answer 8

As an example, let me create h(x)=x-3x^2.

How would we find f(g(x)) which is the same thing as f o g ?

Write f(x)=5/x

Now throw out the x on both sides: f( ) = 5/( )

form the composition f o h by writing h(x) within the first set of parentheses and x-3x^2 within the 2nd set of parentheses. Simplify the algebra as much as you can. That's it.

Try doing the same things to obtain f(g(x)) or f o g.

Answer 9

Once you have f o g in its most reduced version, we can determine the domain of this composition.

Answer 10

Okay

Answer 11

So I should tell you the answer choices I have
-5/2
-2/5
2/5
5/2

Answer 12

You have (I assume) f(x)=5/x and g(x)=2x^2+5x. I'd like for you to form f o g right now and display your result.

Then we can talk about the domain of the function you've created.

Answer 13

f( )=5/( ) like this?

Answer 14

Yes. Now, stick "g(x)" into the empty set of parentheses on the left and stick 2x^2+5x into the empty set of parentheses on the right. What do you get? If you know how to use the Draw utility, please do so.

Answer 15

I dont fully understand what you mean by putting g(x) in for the left there is nothing given im confused

Answer 16

You (correctly) typed f( ) = 5 / ( ).
Following my instructions:
f(g(x)) = (f o g)(x) = 5 / (2x^2+5x)

Answer 17

this is how you form the composition required.

Answer 18

Please look at the right side of this equation.
How would you go about determining which values of x are not allowed in the denominator on the right side?

Answer 19

Oh okay thank you I'm retaking a class online and I remember nothing about it

Answer 20

Contact me now and then; perhaps I could help you review that material from your previous enrollment in this class.

To find values of x that are not in the domain, set (2x^2+5x) = to zero and solve for x. Compare your answers to the four given possible answers.

Answer 21

Thank you I really appreciate you taking time out of your day to help me, I am off to bed now have a nice day