Given the function f(x) = The quantity of 3x minus 4, divided by 5, which of the below expressions is correct?
Some help please!!!

Question

Given the function f(x) = The quantity of 3x minus 4, divided by 5, which of the below expressions is correct? 
Some help please!!!

anonymous · Answer

$$f(x)=\frac{3x-4}{5}$$?

anonymous · Answer

Yes! Please help me i am so confused:c

campbell_st · Answer

well there are no answer choices listed to match to question

anonymous · Answer

My bad the choices are: 
A.) f−1(x) = The quantity of 5x plus 4, divided by 3.

B.) f−1(x) = The quantity of 5x minus 4, divided by 3.

C.)  f−1(x) = The quantity of negative 3x minus 4, divided by 5.

D.) f−1(x) = The quantity of 4 minus 3x, divided by 5.

campbell_st · Answer

so you are being asked to find the inverse of the function...?

anonymous · Answer

Given the function f(x) = The quantity of 3x minus 4, divided by 5, which of the below expressions is correct? that is all it says...

campbell_st · Answer

so do the answer choices start with

$$f^{-1} (x)$$

campbell_st · Answer

ok... I think they question is based around you being able to find the inverse function. 

so to do that.. you're original function can be written as 

$$y = \frac{3x -4}{5}$$

to find the inverse function, swap x and y

$$x = \frac{3y - 4}{5}$$

the task is to may y the subject.... 

can you do that..?

campbell_st · Answer

so multiply both sides by 5

5x = 3y - 4

add 4 to both sides 

5x + 4 = 3y

divide both sides by 3

$$y = \frac{5x + 4}{3}$$

so the inverse function is written as 

$$f^{-1}(x) = \frac{5x + 4}{3}$$

anonymous · Answer

Honestly you're amazing thank you so much i actually get it!
Do you think you could help me with some others i'm struggling with?