Question

find (g/f)(x)

Answer 1

The definition of the function \((g/f)\) is that its value at \(x\) is : \(g(x)/f(x) = \frac{g(x)}{f(x)}\).

There are two possible answers. Which one do you think might that be?

Answer 2

D?

Answer 3

I mean, two candidates, .. one will be eliminated.

Answer 4

Yes, D is looking good. (x^2-5) is above, 4x+1 is below.

What is the difference between A and D?

Answer 5

.. why would A require \(x\neq -\frac14\)?

Answer 6

which is why i went with D , the other part didnt make sense

Answer 7

@reemii d isnt right tho

Answer 8

It has something to do with the fraction: there's a denominator. The fraction (g(x)/f(x)) can be computed as long as f(x)≠0 (not dividing by 0).

Answer 9

The condition \(f(x)\neq 0\) is \(4x+1\neq 0\), and that is actually \(x=-\frac14\).
So A is the same as D, but it mentions correctly the domain (value -1/4 excluded)..

Answer 10

actually \(x\neq -\frac14\) *!

Answer 11

soA was the correct choice?

Answer 12

yes

Answer 13

i see thanks

Answer 14

you're welcome.