Question

Given that f(x) = 4x − 3 and g(x) = 2x - 1 / 3 solve for g(f(2)).

1

3

9

15

Answer 1

when you have g(f)( 2)...

for example: \(\normalsize\color{black}{f((g)3) }\)

\(\normalsize\color{black}{f(x)=2x+5 }\) and \(\normalsize\color{black}{f(g)=4x-9 }\)


\(\normalsize\color{black}{f(g)=2\color{red}{(4x-9)} +5 }\)
\(\normalsize\color{black}{f(g)=8x-18+5 }\)
\(\normalsize\color{black}{f(g)=8x-13 }\)
\(\normalsize\color{black}{f((g)2)=8\color{red}{(3)}-13 }\)
\(\normalsize\color{black}{f((g)2)=24-13 }\)
\(\normalsize\color{black}{f((g)2)=11 }\)

Answer 2

So what do I do to find the answer of this equation?

Answer 3

\(\normalsize\color{black}{f(x) = 4x − 3 }\)

1) you plug in what f(g) is equal to for x. In other words, you plug in ` 2 x - 1 / 3 ` for x.

2) then after simplifying it, you plug in 2 for x, and calculate it away to find the answer.

Answer 4

Okay I think I got it, can you walk me through?

Answer 5

I get stuck on equations like this often:(

Answer 6

take a shot.. if you have an error, I'll correct you .

Answer 7

Okay!

Answer 8

So f(2x-1/3) is 1/3f(2x-1)

Answer 9

Like that?

Answer 10

I simplified the first part

Answer 11

hold on, in your f(g) is it

2x-1
----
3


right ?

Answer 12

Yes

Answer 13

Okay, was making sure.

Answer 14

\(\Huge\color{blue}{ \bf f(x) = 4x − 3 }\)

\(\Huge\color{blue}{ \bf g(x)=\frac{2x-1}{3} }\)



\(\Huge\color{blue}{ \bf f(g)=4(\frac{2x-1}{3})-3 }\)

Answer 15

like this. Sorry if the letters are too big

Answer 16

Okk!

Answer 17

Now i plug in two?

Answer 18

first you simplify it

\(\Huge\color{red}{ \rm f(g)=4(\frac{2x-1}{3})-3 }\)

\(\Huge\color{red}{ \rm f(g)=\frac{8x-4}{3}-3 }\)

Answer 19

now, you plug in 2 for x.

Answer 20

Ok, so 8(2)-4/3 which is 16-4/3, which is 12/3 = 4

Answer 21

4 - 3 = 1

Answer 22

Is it one?

Answer 23

sorry I got disconnected.

(8 × 2 - 4) ÷ 3 - 3
(16 - 4) ÷ 3 - 3
(12) ÷ 3 - 3
4 - 3
\(\normalsize\color{black}{\underline{ 1 }}\)

Answer 24

YAYYY

Answer 25

Thanks so much for all the help, and teaching me!

Answer 26

Anytime:) That's OS is for; enjoy !