Question

Given the function f(x) = The quantity of 4x minus 2, divided by 3, which of the below expressions is correct?

f−1(x) = The quantity of 2 minus 4x, divided by 3.
f−1(x) = The quantity of 3x minus 2, divided by 4.
f−1(x) = The quantity of negative 4x minus 2, divided by 3.
f−1(x) = The quantity of 3x plus 2, divided by 4.

Answer 1

This is the equation?
\[f(x) = 4x - \frac{ 2 }{ 3 }\]

Answer 2

Negative 4? @OnePieceFTW

Answer 3

Lesson #1

Learn how to translate words into symbols, please

:-)

Answer 4

Sorry didnt know the wording was difficult to understand.

Answer 5

I know what each looks like in number form.

Answer 6

Is that^ what you are trying to say?

Answer 7

Suppose you have a function: \(\large\color{#000000 }{ \displaystyle f(x)=mx+b }\)
and you want to find the inverse-function.

In such case, this is how you approach the problem.

`Step 0:`
(( Just matter of convinience, rather than solution, this
is why it's step 0)) For convinience, replace f(x) with y.

After doing this, you get: \(\large\color{#000000 }{ \displaystyle y=mx+b }\)

`Step 1:`
Switch the x and y.
\(\large\color{#000000 }{ \displaystyle x=my+b }\)

`Step 2:`
Solve for y.

\(\large\color{#000000 }{ \displaystyle x=my+b }\)

\(\large\color{#000000 }{ \displaystyle x\color{red}{-b} =my+b\color{red}{-b} }\)

\(\large\color{#000000 }{ \displaystyle x-b =my }\)

\(\large\color{#000000 }{ \displaystyle \color{red}{\frac{\color{black}{x-b} }{m}}=\color{red}{\frac{\color{black}{my} }{m}} }\)

\(\large\color{#000000 }{ \displaystyle y=\frac{x-b}{m}}\)

This can also be written as,

\(\large\color{#000000 }{ \displaystyle y=\frac{1}{m}x-\frac{b}{m}}\)

`Step 3.5`
(just the correct notation)

Since your function y is the inverse function
denote it in the following way,

\(\large\color{#000000 }{ \displaystyle f^{-1}(x)=\frac{1}{m}x-\frac{b}{m}}\)

Answer 8

Yes

Answer 9

Nice answer @SolomonZelman

See @princesssleelee that is why you need to FIRST learn how to translate words into symbols.

Answer 10

Tnx skullpatrol:)

Answer 11

Ii understand the equation and how to solve i just continuously get a mind block when trying to place the numbers accordingly.

Answer 12

That might be due to a lack of practice. If you practice more you will get it.

Answer 13

The reason you get a "mind block" is because you are spending too much EFFORT on the words. If you try to replace them with symbols it will be easier to think about :-)

Answer 14

I am sure that it is a lack of practice. However I can study the notes i have, answer other problems set in the same formation, I just cannot fathom this one.... but thanks

Answer 15

Thanks for asking :D

Answer 16

@Pawanyadav

Answer 17

Do you need help in above problem?

Answer 18

OK convert 2x plus 3 whole multiply by 3 into symbols.

Answer 19

You are not replying any so am going.

Answer 20

Im sorry. I was just trying to look back at notes, i still do not understand this problem. im probably over thinking it