Question

If f(x) = 1 over 2x + 3 and g(x) = −4x − 1, find g[f(4)].

Someone please help me with this!

Answer 1

First find f(4)

Answer 2

\[
f(4)=\frac 1{8+3}=\frac 1{11}
\]

Answer 3

Now find
\[
g\left( \frac 1 {11} \right)= -4 \left( \frac 1 {11}\right)-1
\]

Answer 4

So the answer is -1? thank you! I believe I have another I need help with.

Answer 5

Wait I will find it. Opps.

Answer 6

No it is not -1

Answer 7

I am stuck, I am not that good with fractions.

Answer 8

Sorry :/

Answer 9

Do I need to turn -4 into -4 over 1?

Answer 10

So now I divide -15 and 11?
Or do I keep it and solve g(x) = -4x-1?

Answer 11

\[-4 \left( \frac 1 {11}\right)-1 = - \left( \frac 4 {11}\right)-\frac{11}{11}=-\frac{15}{11}
\]

Answer 12

The answer is
\[

-\frac {15}{11}\]

Answer 13

That is not a option on my quiz.

Answer 14

Is \[f(x)=\frac{1}{2 x+3}\\
or\\
f(x)= \frac 1{2 x} +3
\]

Answer 15

I am still confused.

Answer 16

What was f(x) on your quiz? is it the first option above or the second option?

Answer 17

The first.

Answer 18

The answer is the one I gave you. There must be a misprint on your quiz.
What are the choices?

Answer 19

21/ -12/ 19/ -19

Answer 20

None of them is correct. Sorry. In math 1+1=2

Answer 21

I think your f(x) is
\[
f(x)=\frac 12 x + 3
\]
In this case the answer is -21

Answer 22

f(4) =4/2 +3 =5
g(f(4)) =-4(5) -1=-21

Answer 23

Thank you!

Answer 24

yw