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

Question

anonymous · Answer

$$\huge f(x)=\frac{ 2x+3 }{ 5 }$$

anonymous · Answer

Step 1: Change f(x) to y.
Step 2: Flip x and y.
Step 3: Solve for y using the formula y=mx+b.

anonymous · Answer

Can you try it?

anonymous · Answer

$ \huge f(x)=\frac{ 2x+3 }{ 5 } $

Step 1: Change f(x) to y 

$ \huge y=\frac{ 2x+3 }{ 5 } $

Step 2: flip x and y

$ \huge x=\frac{ 2y+3 }{ 5 } $

Step 3: Solve for y. Can you solve for y ???

$ \huge x=\frac{ 2y+3 }{ 5 } $

anonymous · Answer

Solve for y

$ \huge x=\frac{ 2y+3 }{ 5 } $

Lets get rid of the fraction. Times each side by 5

$ \huge 5 * x=\frac{ 2y+3 }{ 5 } * 5 $


$ \huge 5 x=2y+3  $

Can you solve for y in this equation $ \huge 5 x=2y+3  $ now ?

$ \huge 5 x=2y+3  $

anonymous · Answer

y=(5x-3)/2

anonymous · Answer

That is correct!!!

anonymous · Answer

So the inverse is $ \huge  f(x)^{-1} = \frac{5x-3}{2}$