Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?

f−1(x) = two over the quantity of four x minus three
f−1(x) = two over the quantity of three minus four x
f−1(x) = The quantity of two x minus three, over four
f−1(x) = The quantity of two x plus three, over four

Question

Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?

 f−1(x) = two over the quantity of four x minus three
 f−1(x) = two over the quantity of three minus four x
 f−1(x) = The quantity of two x minus three, over four
 f−1(x) = The quantity of two x plus three, over four

anonymous · Answer

b

anonymous · Answer

$$f(x)=\frac{4x-3}{2}$$?

anonymous · Answer

if so, it is definitely not B

princesssleelee · Answer

@satellite73  yes

anonymous · Answer

ok it is the same as solving say $$\frac{4x-3}{2}=7$$

anonymous · Answer

you know how to solve that?

princesssleelee · Answer

no lol

anonymous · Answer

oh then you are not going to like this !

princesssleelee · Answer

darn it

anonymous · Answer

$$\frac{4x-3}{2}=7$$ multply by 2 get $$4x-3=14$$

princesssleelee · Answer

ok

anonymous · Answer

add $3$ and get $$4x=17$$ then divide by 4 to finish with $$x=\frac{17}{4}$$

anonymous · Answer

now we are going to do the same thing with variables 
you havef $$f(x)=\frac{4x-3}{2}$$ lets write it as $$y=\frac{4x-3}{2}$$

anonymous · Answer

then switch x and y (because that is what the inverse does) and get $$x=\frac{4y-3}{2}$$ solve for $y$ 
the steps are the same as above

anonymous · Answer

$$\frac{4y-3}{2}=x$$ multiply by 2 get $$4y-3=2x$$

anonymous · Answer

add 3 get $$4y=2x+3$$ then divide by 4 to get $$y=\frac{2x+3}{4}$$

princesssleelee · Answer

very very confusing but ill try

anonymous · Answer

and that is your inverse $$f^{-1}(x)=\frac{2x+3}{4}$$

anonymous · Answer

it is confusing if you cannot solve $$\frac{4x-3}{2}=7$$ but the steps are only three :
multiply by 2
add 3
divide by 4

anonymous · Answer

that is what the inverse function $$f^{-1}(x)=\frac{2x+3}{4}$$ does

princesssleelee · Answer

x=−32+2y

princesssleelee · Answer

i have no clue lol

anonymous · Answer

you lost me there
i wrote the steps above, see if you can follow them 
if not let me know
all is written out i did not skip any

princesssleelee · Answer

x=4.25

princesssleelee · Answer

@satellite73

anonymous · Answer

yes that is with the numbers
now take a look at the same steps with i wrote it with variables

princesssleelee · Answer

i dont know what to do there

anonymous · Answer

i did it for you 
follow the steps to the answer

princesssleelee · Answer

do i plug in the x

anonymous · Answer

follow the post starting with "now we are going to do the same thing with variables"

princesssleelee · Answer

i have no idea what I do with the steps?

anonymous · Answer

follow them 
i did it for you

princesssleelee · Answer

i cant figure it out to save my life