Question

Math Help Please :)

Answer 1

The function defined by g(x) = 2x+7 / x + 4
Find G(4x)

Answer 2

I answered g(4x) = 2x+7 / 4x (x+4)

Is this correct ?

Answer 3

"The function defined by g(x) = 2x+7 / x + 4
Find G(4x)"


"x" shows up in three places in the original function. To evaluate g(4x), replace each occurrence of x in the original function with (4x). Try this, please.

Answer 4

g(4x) = 2(4) + 7 / 4 + 4 ?

Answer 5

I don't think so. I would do g(4x)=2(4x)+7 / (4x)+4. That's what I thought @mathmale

Answer 6

We're not eliminating the "x," Caroline. Alex has precisely the right idea here; please study what he has done: replace each occurrence of "x" in the original function with (4x).

Answer 7

So we get g = 8x + 7 / 16x (x+ 1) ?

Answer 8

We need to keep that label: g(4x).

Your "8x" is fine. but where did that "16x(x+1)" come from?

Answer 9

Um (4x) + 4

Answer 10

Hope you're not using "x" to denote multiplication. If you want a "multiplication" symbo, use "*"

Yes, your (4x)+4 is correct, except that it should be simplified and enclosed in parentheses so that there is no confusion over what the denominator of your fraction is.

Try again. Inside these parentheses, write a simplified form of (4x)+4.

( )

Answer 11

Original denom.: x + 4

Replacing "x" with "4x," we get ... what?

Enclose this result in parentheses; simplify it if you wish to do so.

Answer 12

We get 12 ?

Answer 13

Can you add (4x+4)?

Answer 14

Because we started with x+4 and we are substituting x with 4x, you will have 4x+4 correct?

Answer 15

yes

Answer 16

So we have g(4x)= (8x+7) / (4x+4)

Answer 17

Very clear. Carolina, are you OK with this result? Any questions?

Answer 18

Yes

Answer 19

thanks, Alex.

Answer 20

Glad to help :)

Answer 21

Thank YOU :) ALL