Question

for f(x)=3x+1 and g(x)=x^2-6 find (f/g)(x)

Answer 1

This is an example of a composition of equations problem. In order to solve this, you must combine the two equations. You can do this by looking at the notation.

For example, to find g(4), you would turn all x values into your equation into 4

Here, we are trying to find F of G of x. So in the problem, we take the f(x) equation and replace it with G.
It should look like this: 3(x\(^{2}\)-6)+1

Answer 2

@adsfghgdfsf you still there? all you have to do here is either leave the equation in this form, or simplify it; there's no way you can solve for a numerical value.

Answer 3

ok

Answer 4

so it will be 3x+1 over x^2-6

Answer 5

no, its just a combined fraction; the notation is telling you to replace the x variable of ft(x) with the g(x) equation.

And if you wanted to simplify, you would only have to distribute, also known as multiplying

**THERE ARE NO FRACTIONS INVOLVED IN THIS PROBLEM!

Answer 6

yes there is because the answer choices are in fractions

Answer 7

huh....are all the answers choices fractions?

Answer 8

yes

Answer 9

so in that case, you are correct. I was thinking this was a composition TT_ TT since the problem notation explicitly states that f(x) is over g(x)